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Finding the Fourth Proportional to 1,888.47, 2,605.95 and 1,102.59

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Solution

The fourth proportional to 1,888.47, 2,605.95 and 1,102.59 is: 1,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.47 : 2,605.95 = 1,102.59 : x
  2. Step 2: Convert to fraction form
    1,888.47/2,605.95 = 1,102.59/x
  3. Step 3: Cross multiply
    1,888.47x = 2,605.95 × 1,102.59
  4. Step 4: Simplify right side
    1,888.47x = 2,873,294.41
  5. Step 5: Solve for x
    x = 2,873,294.41/1,888.47
  6. Step 6: Final answer
    x = 1,521.49

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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.