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Finding the Fourth Proportional to 2,718.50, 3,751.54 and 1,476.50

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Solution

The fourth proportional to 2,718.50, 3,751.54 and 1,476.50 is: 2,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.50 : 3,751.54 = 1,476.50 : x
  2. Step 2: Convert to fraction form
    2,718.50/3,751.54 = 1,476.50/x
  3. Step 3: Cross multiply
    2,718.50x = 3,751.54 × 1,476.50
  4. Step 4: Simplify right side
    2,718.50x = 5,539,148.81
  5. Step 5: Solve for x
    x = 5,539,148.81/2,718.50
  6. Step 6: Final answer
    x = 2,037.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.