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Finding the Fourth Proportional to 4,141.74, 6,210.65 and 1,507.39

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Solution

The fourth proportional to 4,141.74, 6,210.65 and 1,507.39 is: 2,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.74 : 6,210.65 = 1,507.39 : x
  2. Step 2: Convert to fraction form
    4,141.74/6,210.65 = 1,507.39/x
  3. Step 3: Cross multiply
    4,141.74x = 6,210.65 × 1,507.39
  4. Step 4: Simplify right side
    4,141.74x = 9,361,871.70
  5. Step 5: Solve for x
    x = 9,361,871.70/4,141.74
  6. Step 6: Final answer
    x = 2,260.37

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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.