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Finding the Fourth Proportional to 2,142.42, 2,957.03 and 1,395.08

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Solution

The fourth proportional to 2,142.42, 2,957.03 and 1,395.08 is: 1,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.42 : 2,957.03 = 1,395.08 : x
  2. Step 2: Convert to fraction form
    2,142.42/2,957.03 = 1,395.08/x
  3. Step 3: Cross multiply
    2,142.42x = 2,957.03 × 1,395.08
  4. Step 4: Simplify right side
    2,142.42x = 4,125,293.41
  5. Step 5: Solve for x
    x = 4,125,293.41/2,142.42
  6. Step 6: Final answer
    x = 1,925.53

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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.