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Finding the Fourth Proportional to 3,239.60, 4,859.40 and 1,510.16

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Solution

The fourth proportional to 3,239.60, 4,859.40 and 1,510.16 is: 2,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.60 : 4,859.40 = 1,510.16 : x
  2. Step 2: Convert to fraction form
    3,239.60/4,859.40 = 1,510.16/x
  3. Step 3: Cross multiply
    3,239.60x = 4,859.40 × 1,510.16
  4. Step 4: Simplify right side
    3,239.60x = 7,338,471.50
  5. Step 5: Solve for x
    x = 7,338,471.50/3,239.60
  6. Step 6: Final answer
    x = 2,265.24

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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.