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Finding the Fourth Proportional to 2,281.59, 3,421.78 and 1,048.37

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Solution

The fourth proportional to 2,281.59, 3,421.78 and 1,048.37 is: 1,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.59 : 3,421.78 = 1,048.37 : x
  2. Step 2: Convert to fraction form
    2,281.59/3,421.78 = 1,048.37/x
  3. Step 3: Cross multiply
    2,281.59x = 3,421.78 × 1,048.37
  4. Step 4: Simplify right side
    2,281.59x = 3,587,271.77
  5. Step 5: Solve for x
    x = 3,587,271.77/2,281.59
  6. Step 6: Final answer
    x = 1,572.27

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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.