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Finding the Fourth Proportional to 1,630.14, 2,442.15 and 807.45

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Solution

The fourth proportional to 1,630.14, 2,442.15 and 807.45 is: 1,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.14 : 2,442.15 = 807.45 : x
  2. Step 2: Convert to fraction form
    1,630.14/2,442.15 = 807.45/x
  3. Step 3: Cross multiply
    1,630.14x = 2,442.15 × 807.45
  4. Step 4: Simplify right side
    1,630.14x = 1,971,914.02
  5. Step 5: Solve for x
    x = 1,971,914.02/1,630.14
  6. Step 6: Final answer
    x = 1,209.66

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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.