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Finding the Fourth Proportional to 3,034.42, 4,547.79 and 1,474.78

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Solution

The fourth proportional to 3,034.42, 4,547.79 and 1,474.78 is: 2,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.42 : 4,547.79 = 1,474.78 : x
  2. Step 2: Convert to fraction form
    3,034.42/4,547.79 = 1,474.78/x
  3. Step 3: Cross multiply
    3,034.42x = 4,547.79 × 1,474.78
  4. Step 4: Simplify right side
    3,034.42x = 6,706,989.74
  5. Step 5: Solve for x
    x = 6,706,989.74/3,034.42
  6. Step 6: Final answer
    x = 2,210.30

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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.