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Finding the Fourth Proportional to 2,097.46, 3,143.50 and 865.74

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Solution

The fourth proportional to 2,097.46, 3,143.50 and 865.74 is: 1,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.46 : 3,143.50 = 865.74 : x
  2. Step 2: Convert to fraction form
    2,097.46/3,143.50 = 865.74/x
  3. Step 3: Cross multiply
    2,097.46x = 3,143.50 × 865.74
  4. Step 4: Simplify right side
    2,097.46x = 2,721,448.00
  5. Step 5: Solve for x
    x = 2,721,448.00/2,097.46
  6. Step 6: Final answer
    x = 1,297.50

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1.5x scale

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.