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Finding the Fourth Proportional to 1,888.66, 2,602.56 and 1,559.44

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Solution

The fourth proportional to 1,888.66, 2,602.56 and 1,559.44 is: 2,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.66 : 2,602.56 = 1,559.44 : x
  2. Step 2: Convert to fraction form
    1,888.66/2,602.56 = 1,559.44/x
  3. Step 3: Cross multiply
    1,888.66x = 2,602.56 × 1,559.44
  4. Step 4: Simplify right side
    1,888.66x = 4,058,536.17
  5. Step 5: Solve for x
    x = 4,058,536.17/1,888.66
  6. Step 6: Final answer
    x = 2,148.90

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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.