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Finding the Fourth Proportional to 2,928.78, 4,041.66 and 1,602.47

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Solution

The fourth proportional to 2,928.78, 4,041.66 and 1,602.47 is: 2,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.78 : 4,041.66 = 1,602.47 : x
  2. Step 2: Convert to fraction form
    2,928.78/4,041.66 = 1,602.47/x
  3. Step 3: Cross multiply
    2,928.78x = 4,041.66 × 1,602.47
  4. Step 4: Simplify right side
    2,928.78x = 6,476,655.01
  5. Step 5: Solve for x
    x = 6,476,655.01/2,928.78
  6. Step 6: Final answer
    x = 2,211.38

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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.