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Finding the Fourth Proportional to 3,065.39, 4,598.05 and 985.40

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Solution

The fourth proportional to 3,065.39, 4,598.05 and 985.40 is: 1,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.39 : 4,598.05 = 985.40 : x
  2. Step 2: Convert to fraction form
    3,065.39/4,598.05 = 985.40/x
  3. Step 3: Cross multiply
    3,065.39x = 4,598.05 × 985.40
  4. Step 4: Simplify right side
    3,065.39x = 4,530,899.17
  5. Step 5: Solve for x
    x = 4,530,899.17/3,065.39
  6. Step 6: Final answer
    x = 1,478.08

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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.