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Finding the Fourth Proportional to 2,321.52, 3,482.54 and 678.02

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Solution

The fourth proportional to 2,321.52, 3,482.54 and 678.02 is: 1,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.52 : 3,482.54 = 678.02 : x
  2. Step 2: Convert to fraction form
    2,321.52/3,482.54 = 678.02/x
  3. Step 3: Cross multiply
    2,321.52x = 3,482.54 × 678.02
  4. Step 4: Simplify right side
    2,321.52x = 2,361,231.77
  5. Step 5: Solve for x
    x = 2,361,231.77/2,321.52
  6. Step 6: Final answer
    x = 1,017.11

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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.