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Finding the Fourth Proportional to 1,656.90, 2,286.14 and 1,392.35

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Solution

The fourth proportional to 1,656.90, 2,286.14 and 1,392.35 is: 1,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.90 : 2,286.14 = 1,392.35 : x
  2. Step 2: Convert to fraction form
    1,656.90/2,286.14 = 1,392.35/x
  3. Step 3: Cross multiply
    1,656.90x = 2,286.14 × 1,392.35
  4. Step 4: Simplify right side
    1,656.90x = 3,183,088.64
  5. Step 5: Solve for x
    x = 3,183,088.64/1,656.90
  6. Step 6: Final answer
    x = 1,921.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.