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Finding the Fourth Proportional to 1,653.36, 2,281.66 and 990.26

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Solution

The fourth proportional to 1,653.36, 2,281.66 and 990.26 is: 1,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.36 : 2,281.66 = 990.26 : x
  2. Step 2: Convert to fraction form
    1,653.36/2,281.66 = 990.26/x
  3. Step 3: Cross multiply
    1,653.36x = 2,281.66 × 990.26
  4. Step 4: Simplify right side
    1,653.36x = 2,259,436.63
  5. Step 5: Solve for x
    x = 2,259,436.63/1,653.36
  6. Step 6: Final answer
    x = 1,366.57

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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.