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Finding the Fourth Proportional to 1,624.62, 2,435.10 and 700.02

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Solution

The fourth proportional to 1,624.62, 2,435.10 and 700.02 is: 1,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.62 : 2,435.10 = 700.02 : x
  2. Step 2: Convert to fraction form
    1,624.62/2,435.10 = 700.02/x
  3. Step 3: Cross multiply
    1,624.62x = 2,435.10 × 700.02
  4. Step 4: Simplify right side
    1,624.62x = 1,704,618.70
  5. Step 5: Solve for x
    x = 1,704,618.70/1,624.62
  6. Step 6: Final answer
    x = 1,049.24

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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.