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Finding the Fourth Proportional to 1,652.02, 2,478.17 and 678.13

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Solution

The fourth proportional to 1,652.02, 2,478.17 and 678.13 is: 1,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.02 : 2,478.17 = 678.13 : x
  2. Step 2: Convert to fraction form
    1,652.02/2,478.17 = 678.13/x
  3. Step 3: Cross multiply
    1,652.02x = 2,478.17 × 678.13
  4. Step 4: Simplify right side
    1,652.02x = 1,680,521.42
  5. Step 5: Solve for x
    x = 1,680,521.42/1,652.02
  6. Step 6: Final answer
    x = 1,017.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.