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Finding the Fourth Proportional to 1,487.83, 2,216.03 and 1,409.77

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Solution

The fourth proportional to 1,487.83, 2,216.03 and 1,409.77 is: 2,099.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.83 : 2,216.03 = 1,409.77 : x
  2. Step 2: Convert to fraction form
    1,487.83/2,216.03 = 1,409.77/x
  3. Step 3: Cross multiply
    1,487.83x = 2,216.03 × 1,409.77
  4. Step 4: Simplify right side
    1,487.83x = 3,124,092.61
  5. Step 5: Solve for x
    x = 3,124,092.61/1,487.83
  6. Step 6: Final answer
    x = 2,099.76

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