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Finding the Fourth Proportional to 2,987.52, 4,478.22 and 1,038.66

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Solution

The fourth proportional to 2,987.52, 4,478.22 and 1,038.66 is: 1,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.52 : 4,478.22 = 1,038.66 : x
  2. Step 2: Convert to fraction form
    2,987.52/4,478.22 = 1,038.66/x
  3. Step 3: Cross multiply
    2,987.52x = 4,478.22 × 1,038.66
  4. Step 4: Simplify right side
    2,987.52x = 4,651,347.99
  5. Step 5: Solve for x
    x = 4,651,347.99/2,987.52
  6. Step 6: Final answer
    x = 1,556.93

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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.