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Finding the Fourth Proportional to 1,685.77, 2,515.84 and 1,574.37

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Solution

The fourth proportional to 1,685.77, 2,515.84 and 1,574.37 is: 2,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.77 : 2,515.84 = 1,574.37 : x
  2. Step 2: Convert to fraction form
    1,685.77/2,515.84 = 1,574.37/x
  3. Step 3: Cross multiply
    1,685.77x = 2,515.84 × 1,574.37
  4. Step 4: Simplify right side
    1,685.77x = 3,960,863.02
  5. Step 5: Solve for x
    x = 3,960,863.02/1,685.77
  6. Step 6: Final answer
    x = 2,349.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.