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Finding the Fourth Proportional to 1,854.42, 2,765.95 and 1,577.40

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Solution

The fourth proportional to 1,854.42, 2,765.95 and 1,577.40 is: 2,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.42 : 2,765.95 = 1,577.40 : x
  2. Step 2: Convert to fraction form
    1,854.42/2,765.95 = 1,577.40/x
  3. Step 3: Cross multiply
    1,854.42x = 2,765.95 × 1,577.40
  4. Step 4: Simplify right side
    1,854.42x = 4,363,009.53
  5. Step 5: Solve for x
    x = 4,363,009.53/1,854.42
  6. Step 6: Final answer
    x = 2,352.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.