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Finding the Fourth Proportional to 1,653.95, 2,283.17 and 1,158.53

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Solution

The fourth proportional to 1,653.95, 2,283.17 and 1,158.53 is: 1,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.95 : 2,283.17 = 1,158.53 : x
  2. Step 2: Convert to fraction form
    1,653.95/2,283.17 = 1,158.53/x
  3. Step 3: Cross multiply
    1,653.95x = 2,283.17 × 1,158.53
  4. Step 4: Simplify right side
    1,653.95x = 2,645,103.73
  5. Step 5: Solve for x
    x = 2,645,103.73/1,653.95
  6. Step 6: Final answer
    x = 1,599.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.