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Finding the Fourth Proportional to 1,886.76, 2,600.70 and 1,493.04

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Solution

The fourth proportional to 1,886.76, 2,600.70 and 1,493.04 is: 2,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.76 : 2,600.70 = 1,493.04 : x
  2. Step 2: Convert to fraction form
    1,886.76/2,600.70 = 1,493.04/x
  3. Step 3: Cross multiply
    1,886.76x = 2,600.70 × 1,493.04
  4. Step 4: Simplify right side
    1,886.76x = 3,882,949.13
  5. Step 5: Solve for x
    x = 3,882,949.13/1,886.76
  6. Step 6: Final answer
    x = 2,058.00

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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.