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Finding the Fourth Proportional to 4,302.63, 6,454.95 and 1,340.93

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Solution

The fourth proportional to 4,302.63, 6,454.95 and 1,340.93 is: 2,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.63 : 6,454.95 = 1,340.93 : x
  2. Step 2: Convert to fraction form
    4,302.63/6,454.95 = 1,340.93/x
  3. Step 3: Cross multiply
    4,302.63x = 6,454.95 × 1,340.93
  4. Step 4: Simplify right side
    4,302.63x = 8,655,603.83
  5. Step 5: Solve for x
    x = 8,655,603.83/4,302.63
  6. Step 6: Final answer
    x = 2,011.70

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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.