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Finding the Fourth Proportional to 1,653.08, 2,282.18 and 1,155.53

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Solution

The fourth proportional to 1,653.08, 2,282.18 and 1,155.53 is: 1,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.08 : 2,282.18 = 1,155.53 : x
  2. Step 2: Convert to fraction form
    1,653.08/2,282.18 = 1,155.53/x
  3. Step 3: Cross multiply
    1,653.08x = 2,282.18 × 1,155.53
  4. Step 4: Simplify right side
    1,653.08x = 2,637,127.38
  5. Step 5: Solve for x
    x = 2,637,127.38/1,653.08
  6. Step 6: Final answer
    x = 1,595.29

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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.