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Finding the Fourth Proportional to 2,820.61, 4,228.21 and 1,259.74

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Solution

The fourth proportional to 2,820.61, 4,228.21 and 1,259.74 is: 1,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.61 : 4,228.21 = 1,259.74 : x
  2. Step 2: Convert to fraction form
    2,820.61/4,228.21 = 1,259.74/x
  3. Step 3: Cross multiply
    2,820.61x = 4,228.21 × 1,259.74
  4. Step 4: Simplify right side
    2,820.61x = 5,326,445.27
  5. Step 5: Solve for x
    x = 5,326,445.27/2,820.61
  6. Step 6: Final answer
    x = 1,888.40

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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.