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Finding the Fourth Proportional to 1,857.36, 2,786.08 and 686.76

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Solution

The fourth proportional to 1,857.36, 2,786.08 and 686.76 is: 1,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.36 : 2,786.08 = 686.76 : x
  2. Step 2: Convert to fraction form
    1,857.36/2,786.08 = 686.76/x
  3. Step 3: Cross multiply
    1,857.36x = 2,786.08 × 686.76
  4. Step 4: Simplify right side
    1,857.36x = 1,913,368.30
  5. Step 5: Solve for x
    x = 1,913,368.30/1,857.36
  6. Step 6: Final answer
    x = 1,030.15

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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.