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Finding the Fourth Proportional to 2,360.84, 3,254.90 and 1,574.28

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Solution

The fourth proportional to 2,360.84, 3,254.90 and 1,574.28 is: 2,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.84 : 3,254.90 = 1,574.28 : x
  2. Step 2: Convert to fraction form
    2,360.84/3,254.90 = 1,574.28/x
  3. Step 3: Cross multiply
    2,360.84x = 3,254.90 × 1,574.28
  4. Step 4: Simplify right side
    2,360.84x = 5,124,123.97
  5. Step 5: Solve for x
    x = 5,124,123.97/2,360.84
  6. Step 6: Final answer
    x = 2,170.47

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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.