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Finding the Fourth Proportional to 1,349.60, 2,014.88 and 1,154.66

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Solution

The fourth proportional to 1,349.60, 2,014.88 and 1,154.66 is: 1,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.60 : 2,014.88 = 1,154.66 : x
  2. Step 2: Convert to fraction form
    1,349.60/2,014.88 = 1,154.66/x
  3. Step 3: Cross multiply
    1,349.60x = 2,014.88 × 1,154.66
  4. Step 4: Simplify right side
    1,349.60x = 2,326,485.49
  5. Step 5: Solve for x
    x = 2,326,485.49/1,349.60
  6. Step 6: Final answer
    x = 1,723.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.