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Finding the Fourth Proportional to 1,412.71, 2,117.90 and 671.93

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Solution

The fourth proportional to 1,412.71, 2,117.90 and 671.93 is: 1,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.71 : 2,117.90 = 671.93 : x
  2. Step 2: Convert to fraction form
    1,412.71/2,117.90 = 671.93/x
  3. Step 3: Cross multiply
    1,412.71x = 2,117.90 × 671.93
  4. Step 4: Simplify right side
    1,412.71x = 1,423,079.58
  5. Step 5: Solve for x
    x = 1,423,079.58/1,412.71
  6. Step 6: Final answer
    x = 1,007.34

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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.