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Finding the Fourth Proportional to 1,567.68, 2,363.30 and 1,461.98

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Solution

The fourth proportional to 1,567.68, 2,363.30 and 1,461.98 is: 2,203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.68 : 2,363.30 = 1,461.98 : x
  2. Step 2: Convert to fraction form
    1,567.68/2,363.30 = 1,461.98/x
  3. Step 3: Cross multiply
    1,567.68x = 2,363.30 × 1,461.98
  4. Step 4: Simplify right side
    1,567.68x = 3,455,097.33
  5. Step 5: Solve for x
    x = 3,455,097.33/1,567.68
  6. Step 6: Final answer
    x = 2,203.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.