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Finding the Fourth Proportional to 1,347.32, 2,019.20 and 1,259.62

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Solution

The fourth proportional to 1,347.32, 2,019.20 and 1,259.62 is: 1,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.32 : 2,019.20 = 1,259.62 : x
  2. Step 2: Convert to fraction form
    1,347.32/2,019.20 = 1,259.62/x
  3. Step 3: Cross multiply
    1,347.32x = 2,019.20 × 1,259.62
  4. Step 4: Simplify right side
    1,347.32x = 2,543,413.36
  5. Step 5: Solve for x
    x = 2,543,413.36/1,347.32
  6. Step 6: Final answer
    x = 1,887.75

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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.