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Finding the Fourth Proportional to 2,351.60, 3,528.48 and 2,312.72

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Solution

The fourth proportional to 2,351.60, 3,528.48 and 2,312.72 is: 3,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.60 : 3,528.48 = 2,312.72 : x
  2. Step 2: Convert to fraction form
    2,351.60/3,528.48 = 2,312.72/x
  3. Step 3: Cross multiply
    2,351.60x = 3,528.48 × 2,312.72
  4. Step 4: Simplify right side
    2,351.60x = 8,160,386.27
  5. Step 5: Solve for x
    x = 8,160,386.27/2,351.60
  6. Step 6: Final answer
    x = 3,470.14

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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.