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Finding the Fourth Proportional to 1,417.38, 2,123.40 and 978.90

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Solution

The fourth proportional to 1,417.38, 2,123.40 and 978.90 is: 1,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.38 : 2,123.40 = 978.90 : x
  2. Step 2: Convert to fraction form
    1,417.38/2,123.40 = 978.90/x
  3. Step 3: Cross multiply
    1,417.38x = 2,123.40 × 978.90
  4. Step 4: Simplify right side
    1,417.38x = 2,078,596.26
  5. Step 5: Solve for x
    x = 2,078,596.26/1,417.38
  6. Step 6: Final answer
    x = 1,466.51

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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.