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Finding the Fourth Proportional to 2,455.96, 3,681.12 and 1,224.22

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Solution

The fourth proportional to 2,455.96, 3,681.12 and 1,224.22 is: 1,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.96 : 3,681.12 = 1,224.22 : x
  2. Step 2: Convert to fraction form
    2,455.96/3,681.12 = 1,224.22/x
  3. Step 3: Cross multiply
    2,455.96x = 3,681.12 × 1,224.22
  4. Step 4: Simplify right side
    2,455.96x = 4,506,500.73
  5. Step 5: Solve for x
    x = 4,506,500.73/2,455.96
  6. Step 6: Final answer
    x = 1,834.92

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1.5x scale

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.