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Finding the Fourth Proportional to 2,065.18, 2,852.49 and 1,543.54

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Solution

The fourth proportional to 2,065.18, 2,852.49 and 1,543.54 is: 2,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.18 : 2,852.49 = 1,543.54 : x
  2. Step 2: Convert to fraction form
    2,065.18/2,852.49 = 1,543.54/x
  3. Step 3: Cross multiply
    2,065.18x = 2,852.49 × 1,543.54
  4. Step 4: Simplify right side
    2,065.18x = 4,402,932.41
  5. Step 5: Solve for x
    x = 4,402,932.41/2,065.18
  6. Step 6: Final answer
    x = 2,131.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.