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Finding the Fourth Proportional to 1,582.84, 2,371.53 and 966.38

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Solution

The fourth proportional to 1,582.84, 2,371.53 and 966.38 is: 1,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.84 : 2,371.53 = 966.38 : x
  2. Step 2: Convert to fraction form
    1,582.84/2,371.53 = 966.38/x
  3. Step 3: Cross multiply
    1,582.84x = 2,371.53 × 966.38
  4. Step 4: Simplify right side
    1,582.84x = 2,291,798.83
  5. Step 5: Solve for x
    x = 2,291,798.83/1,582.84
  6. Step 6: Final answer
    x = 1,447.90

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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.