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Finding the Fourth Proportional to 2,534.03, 3,496.84 and 1,870.64

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Solution

The fourth proportional to 2,534.03, 3,496.84 and 1,870.64 is: 2,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.03 : 3,496.84 = 1,870.64 : x
  2. Step 2: Convert to fraction form
    2,534.03/3,496.84 = 1,870.64/x
  3. Step 3: Cross multiply
    2,534.03x = 3,496.84 × 1,870.64
  4. Step 4: Simplify right side
    2,534.03x = 6,541,328.78
  5. Step 5: Solve for x
    x = 6,541,328.78/2,534.03
  6. Step 6: Final answer
    x = 2,581.39

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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.