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Finding the Fourth Proportional to 2,118.65, 2,924.76 and 1,410.90

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Solution

The fourth proportional to 2,118.65, 2,924.76 and 1,410.90 is: 1,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.65 : 2,924.76 = 1,410.90 : x
  2. Step 2: Convert to fraction form
    2,118.65/2,924.76 = 1,410.90/x
  3. Step 3: Cross multiply
    2,118.65x = 2,924.76 × 1,410.90
  4. Step 4: Simplify right side
    2,118.65x = 4,126,543.88
  5. Step 5: Solve for x
    x = 4,126,543.88/2,118.65
  6. Step 6: Final answer
    x = 1,947.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.