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Finding the Fourth Proportional to 2,706.45, 4,059.71 and 1,407

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Solution

The fourth proportional to 2,706.45, 4,059.71 and 1,407 is: 2,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.45 : 4,059.71 = 1,407 : x
  2. Step 2: Convert to fraction form
    2,706.45/4,059.71 = 1,407/x
  3. Step 3: Cross multiply
    2,706.45x = 4,059.71 × 1,407
  4. Step 4: Simplify right side
    2,706.45x = 5,712,004.94
  5. Step 5: Solve for x
    x = 5,712,004.94/2,706.45
  6. Step 6: Final answer
    x = 2,110.52

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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.