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Finding the Fourth Proportional to 2,947.60, 4,065.91 and 1,752.17

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Solution

The fourth proportional to 2,947.60, 4,065.91 and 1,752.17 is: 2,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.60 : 4,065.91 = 1,752.17 : x
  2. Step 2: Convert to fraction form
    2,947.60/4,065.91 = 1,752.17/x
  3. Step 3: Cross multiply
    2,947.60x = 4,065.91 × 1,752.17
  4. Step 4: Simplify right side
    2,947.60x = 7,124,140.81
  5. Step 5: Solve for x
    x = 7,124,140.81/2,947.60
  6. Step 6: Final answer
    x = 2,416.93

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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.