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Finding the Fourth Proportional to 1,574.64, 2,173.08 and 876

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Solution

The fourth proportional to 1,574.64, 2,173.08 and 876 is: 1,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.64 : 2,173.08 = 876 : x
  2. Step 2: Convert to fraction form
    1,574.64/2,173.08 = 876/x
  3. Step 3: Cross multiply
    1,574.64x = 2,173.08 × 876
  4. Step 4: Simplify right side
    1,574.64x = 1,903,618.08
  5. Step 5: Solve for x
    x = 1,903,618.08/1,574.64
  6. Step 6: Final answer
    x = 1,208.92

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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.