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Finding the Fourth Proportional to 3,065.62, 4,598.32 and 985.77

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Solution

The fourth proportional to 3,065.62, 4,598.32 and 985.77 is: 1,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.62 : 4,598.32 = 985.77 : x
  2. Step 2: Convert to fraction form
    3,065.62/4,598.32 = 985.77/x
  3. Step 3: Cross multiply
    3,065.62x = 4,598.32 × 985.77
  4. Step 4: Simplify right side
    3,065.62x = 4,532,862.91
  5. Step 5: Solve for x
    x = 4,532,862.91/3,065.62
  6. Step 6: Final answer
    x = 1,478.61

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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.