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Finding the Fourth Proportional to 2,594.16, 3,578.70 and 1,755.16

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Solution

The fourth proportional to 2,594.16, 3,578.70 and 1,755.16 is: 2,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.16 : 3,578.70 = 1,755.16 : x
  2. Step 2: Convert to fraction form
    2,594.16/3,578.70 = 1,755.16/x
  3. Step 3: Cross multiply
    2,594.16x = 3,578.70 × 1,755.16
  4. Step 4: Simplify right side
    2,594.16x = 6,281,182.15
  5. Step 5: Solve for x
    x = 6,281,182.15/2,594.16
  6. Step 6: Final answer
    x = 2,421.28

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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.