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Finding the Fourth Proportional to 2,648.56, 3,966.57 and 2,300

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Solution

The fourth proportional to 2,648.56, 3,966.57 and 2,300 is: 3,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.56 : 3,966.57 = 2,300 : x
  2. Step 2: Convert to fraction form
    2,648.56/3,966.57 = 2,300/x
  3. Step 3: Cross multiply
    2,648.56x = 3,966.57 × 2,300
  4. Step 4: Simplify right side
    2,648.56x = 9,123,111
  5. Step 5: Solve for x
    x = 9,123,111/2,648.56
  6. Step 6: Final answer
    x = 3,444.56

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