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Finding the Fourth Proportional to 1,862.88, 2,567.52 and 1,364.46

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Solution

The fourth proportional to 1,862.88, 2,567.52 and 1,364.46 is: 1,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.88 : 2,567.52 = 1,364.46 : x
  2. Step 2: Convert to fraction form
    1,862.88/2,567.52 = 1,364.46/x
  3. Step 3: Cross multiply
    1,862.88x = 2,567.52 × 1,364.46
  4. Step 4: Simplify right side
    1,862.88x = 3,503,278.34
  5. Step 5: Solve for x
    x = 3,503,278.34/1,862.88
  6. Step 6: Final answer
    x = 1,880.57

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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.