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Finding the Fourth Proportional to 3,065.47, 4,598.98 and 874.20

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Solution

The fourth proportional to 3,065.47, 4,598.98 and 874.20 is: 1,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.47 : 4,598.98 = 874.20 : x
  2. Step 2: Convert to fraction form
    3,065.47/4,598.98 = 874.20/x
  3. Step 3: Cross multiply
    3,065.47x = 4,598.98 × 874.20
  4. Step 4: Simplify right side
    3,065.47x = 4,020,443.38
  5. Step 5: Solve for x
    x = 4,020,443.38/3,065.47
  6. Step 6: Final answer
    x = 1,311.53

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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.