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Finding the Fourth Proportional to 2,567.58, 3,544.12 and 1,598.18

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Solution

The fourth proportional to 2,567.58, 3,544.12 and 1,598.18 is: 2,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.58 : 3,544.12 = 1,598.18 : x
  2. Step 2: Convert to fraction form
    2,567.58/3,544.12 = 1,598.18/x
  3. Step 3: Cross multiply
    2,567.58x = 3,544.12 × 1,598.18
  4. Step 4: Simplify right side
    2,567.58x = 5,664,141.70
  5. Step 5: Solve for x
    x = 5,664,141.70/2,567.58
  6. Step 6: Final answer
    x = 2,206.02

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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.