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Finding the Fourth Proportional to 1,468.70, 2,199.45 and 1,403.90

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Solution

The fourth proportional to 1,468.70, 2,199.45 and 1,403.90 is: 2,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.70 : 2,199.45 = 1,403.90 : x
  2. Step 2: Convert to fraction form
    1,468.70/2,199.45 = 1,403.90/x
  3. Step 3: Cross multiply
    1,468.70x = 2,199.45 × 1,403.90
  4. Step 4: Simplify right side
    1,468.70x = 3,087,807.86
  5. Step 5: Solve for x
    x = 3,087,807.86/1,468.70
  6. Step 6: Final answer
    x = 2,102.41

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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.