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Finding the Fourth Proportional to 1,656.32, 2,286 and 958.10

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Solution

The fourth proportional to 1,656.32, 2,286 and 958.10 is: 1,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.32 : 2,286 = 958.10 : x
  2. Step 2: Convert to fraction form
    1,656.32/2,286 = 958.10/x
  3. Step 3: Cross multiply
    1,656.32x = 2,286 × 958.10
  4. Step 4: Simplify right side
    1,656.32x = 2,190,216.60
  5. Step 5: Solve for x
    x = 2,190,216.60/1,656.32
  6. Step 6: Final answer
    x = 1,322.34

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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.