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Finding the Fourth Proportional to 1,947.40, 2,921.13 and 560.76

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Solution

The fourth proportional to 1,947.40, 2,921.13 and 560.76 is: 841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.40 : 2,921.13 = 560.76 : x
  2. Step 2: Convert to fraction form
    1,947.40/2,921.13 = 560.76/x
  3. Step 3: Cross multiply
    1,947.40x = 2,921.13 × 560.76
  4. Step 4: Simplify right side
    1,947.40x = 1,638,058.34
  5. Step 5: Solve for x
    x = 1,638,058.34/1,947.40
  6. Step 6: Final answer
    x = 841.15

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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.