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Finding the Fourth Proportional to 2,088.32, 3,131.49 and 701.27

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Solution

The fourth proportional to 2,088.32, 3,131.49 and 701.27 is: 1,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.32 : 3,131.49 = 701.27 : x
  2. Step 2: Convert to fraction form
    2,088.32/3,131.49 = 701.27/x
  3. Step 3: Cross multiply
    2,088.32x = 3,131.49 × 701.27
  4. Step 4: Simplify right side
    2,088.32x = 2,196,030.41
  5. Step 5: Solve for x
    x = 2,196,030.41/2,088.32
  6. Step 6: Final answer
    x = 1,051.58

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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.