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Finding the Fourth Proportional to 2,001.40, 2,761.74 and 1,117.18

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Solution

The fourth proportional to 2,001.40, 2,761.74 and 1,117.18 is: 1,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.40 : 2,761.74 = 1,117.18 : x
  2. Step 2: Convert to fraction form
    2,001.40/2,761.74 = 1,117.18/x
  3. Step 3: Cross multiply
    2,001.40x = 2,761.74 × 1,117.18
  4. Step 4: Simplify right side
    2,001.40x = 3,085,360.69
  5. Step 5: Solve for x
    x = 3,085,360.69/2,001.40
  6. Step 6: Final answer
    x = 1,541.60

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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.