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Finding the Fourth Proportional to 2,854.89, 4,282.98 and 907.02

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Solution

The fourth proportional to 2,854.89, 4,282.98 and 907.02 is: 1,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.89 : 4,282.98 = 907.02 : x
  2. Step 2: Convert to fraction form
    2,854.89/4,282.98 = 907.02/x
  3. Step 3: Cross multiply
    2,854.89x = 4,282.98 × 907.02
  4. Step 4: Simplify right side
    2,854.89x = 3,884,748.52
  5. Step 5: Solve for x
    x = 3,884,748.52/2,854.89
  6. Step 6: Final answer
    x = 1,360.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.