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Finding the Fourth Proportional to 2,706.30, 4,059.45 and 2,341.80

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Solution

The fourth proportional to 2,706.30, 4,059.45 and 2,341.80 is: 3,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.30 : 4,059.45 = 2,341.80 : x
  2. Step 2: Convert to fraction form
    2,706.30/4,059.45 = 2,341.80/x
  3. Step 3: Cross multiply
    2,706.30x = 4,059.45 × 2,341.80
  4. Step 4: Simplify right side
    2,706.30x = 9,506,420.01
  5. Step 5: Solve for x
    x = 9,506,420.01/2,706.30
  6. Step 6: Final answer
    x = 3,512.70

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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.