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Finding the Fourth Proportional to 1,496.26, 2,064.76 and 928.95

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Solution

The fourth proportional to 1,496.26, 2,064.76 and 928.95 is: 1,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.26 : 2,064.76 = 928.95 : x
  2. Step 2: Convert to fraction form
    1,496.26/2,064.76 = 928.95/x
  3. Step 3: Cross multiply
    1,496.26x = 2,064.76 × 928.95
  4. Step 4: Simplify right side
    1,496.26x = 1,918,058.80
  5. Step 5: Solve for x
    x = 1,918,058.80/1,496.26
  6. Step 6: Final answer
    x = 1,281.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.