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Finding the Fourth Proportional to 1,762.13, 2,431.71 and 1,098.93

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Solution

The fourth proportional to 1,762.13, 2,431.71 and 1,098.93 is: 1,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.13 : 2,431.71 = 1,098.93 : x
  2. Step 2: Convert to fraction form
    1,762.13/2,431.71 = 1,098.93/x
  3. Step 3: Cross multiply
    1,762.13x = 2,431.71 × 1,098.93
  4. Step 4: Simplify right side
    1,762.13x = 2,672,279.07
  5. Step 5: Solve for x
    x = 2,672,279.07/1,762.13
  6. Step 6: Final answer
    x = 1,516.51

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