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Finding the Fourth Proportional to 1,412.42, 2,114.51 and 1,048.82

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Solution

The fourth proportional to 1,412.42, 2,114.51 and 1,048.82 is: 1,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.42 : 2,114.51 = 1,048.82 : x
  2. Step 2: Convert to fraction form
    1,412.42/2,114.51 = 1,048.82/x
  3. Step 3: Cross multiply
    1,412.42x = 2,114.51 × 1,048.82
  4. Step 4: Simplify right side
    1,412.42x = 2,217,724.56
  5. Step 5: Solve for x
    x = 2,217,724.56/1,412.42
  6. Step 6: Final answer
    x = 1,570.16

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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.