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Finding the Fourth Proportional to 1,656.14, 2,484.73 and 682.70

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Solution

The fourth proportional to 1,656.14, 2,484.73 and 682.70 is: 1,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.14 : 2,484.73 = 682.70 : x
  2. Step 2: Convert to fraction form
    1,656.14/2,484.73 = 682.70/x
  3. Step 3: Cross multiply
    1,656.14x = 2,484.73 × 682.70
  4. Step 4: Simplify right side
    1,656.14x = 1,696,325.17
  5. Step 5: Solve for x
    x = 1,696,325.17/1,656.14
  6. Step 6: Final answer
    x = 1,024.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.