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Finding the Fourth Proportional to 3,002.47, 4,503.75 and 1,054.75

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Solution

The fourth proportional to 3,002.47, 4,503.75 and 1,054.75 is: 1,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.47 : 4,503.75 = 1,054.75 : x
  2. Step 2: Convert to fraction form
    3,002.47/4,503.75 = 1,054.75/x
  3. Step 3: Cross multiply
    3,002.47x = 4,503.75 × 1,054.75
  4. Step 4: Simplify right side
    3,002.47x = 4,750,330.31
  5. Step 5: Solve for x
    x = 4,750,330.31/3,002.47
  6. Step 6: Final answer
    x = 1,582.14

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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.