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Finding the Fourth Proportional to 2,470.32, 3,704.11 and 1,010.50

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Solution

The fourth proportional to 2,470.32, 3,704.11 and 1,010.50 is: 1,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.32 : 3,704.11 = 1,010.50 : x
  2. Step 2: Convert to fraction form
    2,470.32/3,704.11 = 1,010.50/x
  3. Step 3: Cross multiply
    2,470.32x = 3,704.11 × 1,010.50
  4. Step 4: Simplify right side
    2,470.32x = 3,742,993.89
  5. Step 5: Solve for x
    x = 3,742,993.89/2,470.32
  6. Step 6: Final answer
    x = 1,515.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.