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Finding the Fourth Proportional to 2,612.58, 3,605.67 and 1,564.62

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Solution

The fourth proportional to 2,612.58, 3,605.67 and 1,564.62 is: 2,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.58 : 3,605.67 = 1,564.62 : x
  2. Step 2: Convert to fraction form
    2,612.58/3,605.67 = 1,564.62/x
  3. Step 3: Cross multiply
    2,612.58x = 3,605.67 × 1,564.62
  4. Step 4: Simplify right side
    2,612.58x = 5,641,503.40
  5. Step 5: Solve for x
    x = 5,641,503.40/2,612.58
  6. Step 6: Final answer
    x = 2,159.36

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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.