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Finding the Fourth Proportional to 1,854.50, 2,560.01 and 1,357.16

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Solution

The fourth proportional to 1,854.50, 2,560.01 and 1,357.16 is: 1,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.50 : 2,560.01 = 1,357.16 : x
  2. Step 2: Convert to fraction form
    1,854.50/2,560.01 = 1,357.16/x
  3. Step 3: Cross multiply
    1,854.50x = 2,560.01 × 1,357.16
  4. Step 4: Simplify right side
    1,854.50x = 3,474,323.59
  5. Step 5: Solve for x
    x = 3,474,323.59/1,854.50
  6. Step 6: Final answer
    x = 1,873.46

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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.