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Finding the Fourth Proportional to 1,532.99, 2,300.20 and 948.92

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Solution

The fourth proportional to 1,532.99, 2,300.20 and 948.92 is: 1,423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.99 : 2,300.20 = 948.92 : x
  2. Step 2: Convert to fraction form
    1,532.99/2,300.20 = 948.92/x
  3. Step 3: Cross multiply
    1,532.99x = 2,300.20 × 948.92
  4. Step 4: Simplify right side
    1,532.99x = 2,182,691.91
  5. Step 5: Solve for x
    x = 2,182,691.91/1,532.99
  6. Step 6: Final answer
    x = 1,423.81

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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.