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Finding the Fourth Proportional to 2,095.13, 3,142.71 and 708.48

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Solution

The fourth proportional to 2,095.13, 3,142.71 and 708.48 is: 1,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.13 : 3,142.71 = 708.48 : x
  2. Step 2: Convert to fraction form
    2,095.13/3,142.71 = 708.48/x
  3. Step 3: Cross multiply
    2,095.13x = 3,142.71 × 708.48
  4. Step 4: Simplify right side
    2,095.13x = 2,226,547.18
  5. Step 5: Solve for x
    x = 2,226,547.18/2,095.13
  6. Step 6: Final answer
    x = 1,062.72

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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.