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Finding the Fourth Proportional to 2,295.47, 3,167.54 and 1,300.83

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Solution

The fourth proportional to 2,295.47, 3,167.54 and 1,300.83 is: 1,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.47 : 3,167.54 = 1,300.83 : x
  2. Step 2: Convert to fraction form
    2,295.47/3,167.54 = 1,300.83/x
  3. Step 3: Cross multiply
    2,295.47x = 3,167.54 × 1,300.83
  4. Step 4: Simplify right side
    2,295.47x = 4,120,417.55
  5. Step 5: Solve for x
    x = 4,120,417.55/2,295.47
  6. Step 6: Final answer
    x = 1,795.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.