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Finding the Fourth Proportional to 1,417.60, 2,123.84 and 551.36

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Solution

The fourth proportional to 1,417.60, 2,123.84 and 551.36 is: 826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.60 : 2,123.84 = 551.36 : x
  2. Step 2: Convert to fraction form
    1,417.60/2,123.84 = 551.36/x
  3. Step 3: Cross multiply
    1,417.60x = 2,123.84 × 551.36
  4. Step 4: Simplify right side
    1,417.60x = 1,171,000.42
  5. Step 5: Solve for x
    x = 1,171,000.42/1,417.60
  6. Step 6: Final answer
    x = 826.04

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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.