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Finding the Fourth Proportional to 2,827.90, 4,243.65 and 1,657.90

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Solution

The fourth proportional to 2,827.90, 4,243.65 and 1,657.90 is: 2,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.90 : 4,243.65 = 1,657.90 : x
  2. Step 2: Convert to fraction form
    2,827.90/4,243.65 = 1,657.90/x
  3. Step 3: Cross multiply
    2,827.90x = 4,243.65 × 1,657.90
  4. Step 4: Simplify right side
    2,827.90x = 7,035,547.34
  5. Step 5: Solve for x
    x = 7,035,547.34/2,827.90
  6. Step 6: Final answer
    x = 2,487.91

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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.