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Finding the Fourth Proportional to 2,101.77, 3,154.34 and 947.61

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Solution

The fourth proportional to 2,101.77, 3,154.34 and 947.61 is: 1,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.77 : 3,154.34 = 947.61 : x
  2. Step 2: Convert to fraction form
    2,101.77/3,154.34 = 947.61/x
  3. Step 3: Cross multiply
    2,101.77x = 3,154.34 × 947.61
  4. Step 4: Simplify right side
    2,101.77x = 2,989,084.13
  5. Step 5: Solve for x
    x = 2,989,084.13/2,101.77
  6. Step 6: Final answer
    x = 1,422.17

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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.