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Finding the Fourth Proportional to 1,588.34, 2,191.88 and 880.23

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Solution

The fourth proportional to 1,588.34, 2,191.88 and 880.23 is: 1,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.34 : 2,191.88 = 880.23 : x
  2. Step 2: Convert to fraction form
    1,588.34/2,191.88 = 880.23/x
  3. Step 3: Cross multiply
    1,588.34x = 2,191.88 × 880.23
  4. Step 4: Simplify right side
    1,588.34x = 1,929,354.13
  5. Step 5: Solve for x
    x = 1,929,354.13/1,588.34
  6. Step 6: Final answer
    x = 1,214.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.