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Finding the Fourth Proportional to 2,357.68, 3,534.54 and 1,041.22

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Solution

The fourth proportional to 2,357.68, 3,534.54 and 1,041.22 is: 1,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.68 : 3,534.54 = 1,041.22 : x
  2. Step 2: Convert to fraction form
    2,357.68/3,534.54 = 1,041.22/x
  3. Step 3: Cross multiply
    2,357.68x = 3,534.54 × 1,041.22
  4. Step 4: Simplify right side
    2,357.68x = 3,680,233.74
  5. Step 5: Solve for x
    x = 3,680,233.74/2,357.68
  6. Step 6: Final answer
    x = 1,560.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.