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Finding the Fourth Proportional to 1,864.12, 2,794.52 and 710.68

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Solution

The fourth proportional to 1,864.12, 2,794.52 and 710.68 is: 1,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.12 : 2,794.52 = 710.68 : x
  2. Step 2: Convert to fraction form
    1,864.12/2,794.52 = 710.68/x
  3. Step 3: Cross multiply
    1,864.12x = 2,794.52 × 710.68
  4. Step 4: Simplify right side
    1,864.12x = 1,986,009.47
  5. Step 5: Solve for x
    x = 1,986,009.47/1,864.12
  6. Step 6: Final answer
    x = 1,065.39

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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.