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Finding the Fourth Proportional to 1,463.68, 2,017.52 and 1,343

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Solution

The fourth proportional to 1,463.68, 2,017.52 and 1,343 is: 1,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.68 : 2,017.52 = 1,343 : x
  2. Step 2: Convert to fraction form
    1,463.68/2,017.52 = 1,343/x
  3. Step 3: Cross multiply
    1,463.68x = 2,017.52 × 1,343
  4. Step 4: Simplify right side
    1,463.68x = 2,709,529.36
  5. Step 5: Solve for x
    x = 2,709,529.36/1,463.68
  6. Step 6: Final answer
    x = 1,851.18

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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.