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Finding the Fourth Proportional to 1,934.64, 2,666.88 and 1,652.76

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Solution

The fourth proportional to 1,934.64, 2,666.88 and 1,652.76 is: 2,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.64 : 2,666.88 = 1,652.76 : x
  2. Step 2: Convert to fraction form
    1,934.64/2,666.88 = 1,652.76/x
  3. Step 3: Cross multiply
    1,934.64x = 2,666.88 × 1,652.76
  4. Step 4: Simplify right side
    1,934.64x = 4,407,712.59
  5. Step 5: Solve for x
    x = 4,407,712.59/1,934.64
  6. Step 6: Final answer
    x = 2,278.31

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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.