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Finding the Fourth Proportional to 3,257.54, 4,886.15 and 1,065.98

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Solution

The fourth proportional to 3,257.54, 4,886.15 and 1,065.98 is: 1,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.54 : 4,886.15 = 1,065.98 : x
  2. Step 2: Convert to fraction form
    3,257.54/4,886.15 = 1,065.98/x
  3. Step 3: Cross multiply
    3,257.54x = 4,886.15 × 1,065.98
  4. Step 4: Simplify right side
    3,257.54x = 5,208,538.18
  5. Step 5: Solve for x
    x = 5,208,538.18/3,257.54
  6. Step 6: Final answer
    x = 1,598.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.