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Finding the Fourth Proportional to 1,888.26, 2,605.80 and 1,102.82

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Solution

The fourth proportional to 1,888.26, 2,605.80 and 1,102.82 is: 1,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.26 : 2,605.80 = 1,102.82 : x
  2. Step 2: Convert to fraction form
    1,888.26/2,605.80 = 1,102.82/x
  3. Step 3: Cross multiply
    1,888.26x = 2,605.80 × 1,102.82
  4. Step 4: Simplify right side
    1,888.26x = 2,873,728.36
  5. Step 5: Solve for x
    x = 2,873,728.36/1,888.26
  6. Step 6: Final answer
    x = 1,521.89

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1.5x scale

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.