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Finding the Fourth Proportional to 1,578.78, 2,365.13 and 1,417.79

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Solution

The fourth proportional to 1,578.78, 2,365.13 and 1,417.79 is: 2,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.78 : 2,365.13 = 1,417.79 : x
  2. Step 2: Convert to fraction form
    1,578.78/2,365.13 = 1,417.79/x
  3. Step 3: Cross multiply
    1,578.78x = 2,365.13 × 1,417.79
  4. Step 4: Simplify right side
    1,578.78x = 3,353,267.12
  5. Step 5: Solve for x
    x = 3,353,267.12/1,578.78
  6. Step 6: Final answer
    x = 2,123.96

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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.