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Finding the Fourth Proportional to 2,567.63, 3,545.07 and 1,684.94

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Solution

The fourth proportional to 2,567.63, 3,545.07 and 1,684.94 is: 2,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.63 : 3,545.07 = 1,684.94 : x
  2. Step 2: Convert to fraction form
    2,567.63/3,545.07 = 1,684.94/x
  3. Step 3: Cross multiply
    2,567.63x = 3,545.07 × 1,684.94
  4. Step 4: Simplify right side
    2,567.63x = 5,973,206.20
  5. Step 5: Solve for x
    x = 5,973,206.20/2,567.63
  6. Step 6: Final answer
    x = 2,326.35

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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.