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Finding the Fourth Proportional to 1,760.51, 2,641.17 and 938.35

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Solution

The fourth proportional to 1,760.51, 2,641.17 and 938.35 is: 1,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.51 : 2,641.17 = 938.35 : x
  2. Step 2: Convert to fraction form
    1,760.51/2,641.17 = 938.35/x
  3. Step 3: Cross multiply
    1,760.51x = 2,641.17 × 938.35
  4. Step 4: Simplify right side
    1,760.51x = 2,478,341.87
  5. Step 5: Solve for x
    x = 2,478,341.87/1,760.51
  6. Step 6: Final answer
    x = 1,407.74

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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.