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Finding the Fourth Proportional to 1,862, 2,569.64 and 1,034

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Solution

The fourth proportional to 1,862, 2,569.64 and 1,034 is: 1,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862 : 2,569.64 = 1,034 : x
  2. Step 2: Convert to fraction form
    1,862/2,569.64 = 1,034/x
  3. Step 3: Cross multiply
    1,862x = 2,569.64 × 1,034
  4. Step 4: Simplify right side
    1,862x = 2,657,007.76
  5. Step 5: Solve for x
    x = 2,657,007.76/1,862
  6. Step 6: Final answer
    x = 1,426.96

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Why These Related Problems?

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