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Finding the Fourth Proportional to 2,281.48, 3,423.72 and 1,416.40

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Solution

The fourth proportional to 2,281.48, 3,423.72 and 1,416.40 is: 2,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.48 : 3,423.72 = 1,416.40 : x
  2. Step 2: Convert to fraction form
    2,281.48/3,423.72 = 1,416.40/x
  3. Step 3: Cross multiply
    2,281.48x = 3,423.72 × 1,416.40
  4. Step 4: Simplify right side
    2,281.48x = 4,849,357.01
  5. Step 5: Solve for x
    x = 4,849,357.01/2,281.48
  6. Step 6: Final answer
    x = 2,125.53

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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.