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Finding the Fourth Proportional to 3,103.59, 4,655.39 and 1,458.93

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Solution

The fourth proportional to 3,103.59, 4,655.39 and 1,458.93 is: 2,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.59 : 4,655.39 = 1,458.93 : x
  2. Step 2: Convert to fraction form
    3,103.59/4,655.39 = 1,458.93/x
  3. Step 3: Cross multiply
    3,103.59x = 4,655.39 × 1,458.93
  4. Step 4: Simplify right side
    3,103.59x = 6,791,880.84
  5. Step 5: Solve for x
    x = 6,791,880.84/3,103.59
  6. Step 6: Final answer
    x = 2,188.40

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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.