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Finding the Fourth Proportional to 1,527.87, 2,293.16 and 1,006.41

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Solution

The fourth proportional to 1,527.87, 2,293.16 and 1,006.41 is: 1,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.87 : 2,293.16 = 1,006.41 : x
  2. Step 2: Convert to fraction form
    1,527.87/2,293.16 = 1,006.41/x
  3. Step 3: Cross multiply
    1,527.87x = 2,293.16 × 1,006.41
  4. Step 4: Simplify right side
    1,527.87x = 2,307,854.12
  5. Step 5: Solve for x
    x = 2,307,854.12/1,527.87
  6. Step 6: Final answer
    x = 1,510.50

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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.