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Finding the Fourth Proportional to 2,867.61, 4,302.69 and 1,225.20

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Solution

The fourth proportional to 2,867.61, 4,302.69 and 1,225.20 is: 1,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.61 : 4,302.69 = 1,225.20 : x
  2. Step 2: Convert to fraction form
    2,867.61/4,302.69 = 1,225.20/x
  3. Step 3: Cross multiply
    2,867.61x = 4,302.69 × 1,225.20
  4. Step 4: Simplify right side
    2,867.61x = 5,271,655.79
  5. Step 5: Solve for x
    x = 5,271,655.79/2,867.61
  6. Step 6: Final answer
    x = 1,838.34

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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.