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Finding the Fourth Proportional to 1,693.16, 2,537.40 and 953.13

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Solution

The fourth proportional to 1,693.16, 2,537.40 and 953.13 is: 1,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.16 : 2,537.40 = 953.13 : x
  2. Step 2: Convert to fraction form
    1,693.16/2,537.40 = 953.13/x
  3. Step 3: Cross multiply
    1,693.16x = 2,537.40 × 953.13
  4. Step 4: Simplify right side
    1,693.16x = 2,418,472.06
  5. Step 5: Solve for x
    x = 2,418,472.06/1,693.16
  6. Step 6: Final answer
    x = 1,428.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.