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Finding the Fourth Proportional to 2,987.80, 4,481.70 and 1,038.63

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Solution

The fourth proportional to 2,987.80, 4,481.70 and 1,038.63 is: 1,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.80 : 4,481.70 = 1,038.63 : x
  2. Step 2: Convert to fraction form
    2,987.80/4,481.70 = 1,038.63/x
  3. Step 3: Cross multiply
    2,987.80x = 4,481.70 × 1,038.63
  4. Step 4: Simplify right side
    2,987.80x = 4,654,828.07
  5. Step 5: Solve for x
    x = 4,654,828.07/2,987.80
  6. Step 6: Final answer
    x = 1,557.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.