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Finding the Fourth Proportional to 2,001.16, 2,761.61 and 1,117

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Solution

The fourth proportional to 2,001.16, 2,761.61 and 1,117 is: 1,541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.16 : 2,761.61 = 1,117 : x
  2. Step 2: Convert to fraction form
    2,001.16/2,761.61 = 1,117/x
  3. Step 3: Cross multiply
    2,001.16x = 2,761.61 × 1,117
  4. Step 4: Simplify right side
    2,001.16x = 3,084,718.37
  5. Step 5: Solve for x
    x = 3,084,718.37/2,001.16
  6. Step 6: Final answer
    x = 1,541.47

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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.