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Finding the Fourth Proportional to 1,656.59, 2,480.16 and 1,286.02

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Solution

The fourth proportional to 1,656.59, 2,480.16 and 1,286.02 is: 1,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.59 : 2,480.16 = 1,286.02 : x
  2. Step 2: Convert to fraction form
    1,656.59/2,480.16 = 1,286.02/x
  3. Step 3: Cross multiply
    1,656.59x = 2,480.16 × 1,286.02
  4. Step 4: Simplify right side
    1,656.59x = 3,189,522.96
  5. Step 5: Solve for x
    x = 3,189,522.96/1,656.59
  6. Step 6: Final answer
    x = 1,925.35

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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.