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Finding the Fourth Proportional to 2,869.47, 4,302.86 and 1,308.51

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Solution

The fourth proportional to 2,869.47, 4,302.86 and 1,308.51 is: 1,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.47 : 4,302.86 = 1,308.51 : x
  2. Step 2: Convert to fraction form
    2,869.47/4,302.86 = 1,308.51/x
  3. Step 3: Cross multiply
    2,869.47x = 4,302.86 × 1,308.51
  4. Step 4: Simplify right side
    2,869.47x = 5,630,328.80
  5. Step 5: Solve for x
    x = 5,630,328.80/2,869.47
  6. Step 6: Final answer
    x = 1,962.15

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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.