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Finding the Fourth Proportional to 1,885.66, 2,828.64 and 587.14

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Solution

The fourth proportional to 1,885.66, 2,828.64 and 587.14 is: 880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.66 : 2,828.64 = 587.14 : x
  2. Step 2: Convert to fraction form
    1,885.66/2,828.64 = 587.14/x
  3. Step 3: Cross multiply
    1,885.66x = 2,828.64 × 587.14
  4. Step 4: Simplify right side
    1,885.66x = 1,660,807.69
  5. Step 5: Solve for x
    x = 1,660,807.69/1,885.66
  6. Step 6: Final answer
    x = 880.76

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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.