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Finding the Fourth Proportional to 1,886.64, 2,828.56 and 587.40

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Solution

The fourth proportional to 1,886.64, 2,828.56 and 587.40 is: 880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.64 : 2,828.56 = 587.40 : x
  2. Step 2: Convert to fraction form
    1,886.64/2,828.56 = 587.40/x
  3. Step 3: Cross multiply
    1,886.64x = 2,828.56 × 587.40
  4. Step 4: Simplify right side
    1,886.64x = 1,661,496.14
  5. Step 5: Solve for x
    x = 1,661,496.14/1,886.64
  6. Step 6: Final answer
    x = 880.66

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