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Finding the Fourth Proportional to 1,412.68, 2,117.10 and 1,048.84

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Solution

The fourth proportional to 1,412.68, 2,117.10 and 1,048.84 is: 1,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.68 : 2,117.10 = 1,048.84 : x
  2. Step 2: Convert to fraction form
    1,412.68/2,117.10 = 1,048.84/x
  3. Step 3: Cross multiply
    1,412.68x = 2,117.10 × 1,048.84
  4. Step 4: Simplify right side
    1,412.68x = 2,220,499.16
  5. Step 5: Solve for x
    x = 2,220,499.16/1,412.68
  6. Step 6: Final answer
    x = 1,571.83

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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.