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Finding the Fourth Proportional to 2,042.57, 2,820.10 and 1,569.62

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Solution

The fourth proportional to 2,042.57, 2,820.10 and 1,569.62 is: 2,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.57 : 2,820.10 = 1,569.62 : x
  2. Step 2: Convert to fraction form
    2,042.57/2,820.10 = 1,569.62/x
  3. Step 3: Cross multiply
    2,042.57x = 2,820.10 × 1,569.62
  4. Step 4: Simplify right side
    2,042.57x = 4,426,485.36
  5. Step 5: Solve for x
    x = 4,426,485.36/2,042.57
  6. Step 6: Final answer
    x = 2,167.12

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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.