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Finding the Fourth Proportional to 1,487.86, 2,054.28 and 928.44

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Solution

The fourth proportional to 1,487.86, 2,054.28 and 928.44 is: 1,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.86 : 2,054.28 = 928.44 : x
  2. Step 2: Convert to fraction form
    1,487.86/2,054.28 = 928.44/x
  3. Step 3: Cross multiply
    1,487.86x = 2,054.28 × 928.44
  4. Step 4: Simplify right side
    1,487.86x = 1,907,275.72
  5. Step 5: Solve for x
    x = 1,907,275.72/1,487.86
  6. Step 6: Final answer
    x = 1,281.89

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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.