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Finding the Fourth Proportional to 2,871.47, 4,307.12 and 1,206.48

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Solution

The fourth proportional to 2,871.47, 4,307.12 and 1,206.48 is: 1,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.47 : 4,307.12 = 1,206.48 : x
  2. Step 2: Convert to fraction form
    2,871.47/4,307.12 = 1,206.48/x
  3. Step 3: Cross multiply
    2,871.47x = 4,307.12 × 1,206.48
  4. Step 4: Simplify right side
    2,871.47x = 5,196,448.11
  5. Step 5: Solve for x
    x = 5,196,448.11/2,871.47
  6. Step 6: Final answer
    x = 1,809.69

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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.