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Finding the Fourth Proportional to 1,588.88, 2,365.30 and 1,580.24

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Solution

The fourth proportional to 1,588.88, 2,365.30 and 1,580.24 is: 2,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.88 : 2,365.30 = 1,580.24 : x
  2. Step 2: Convert to fraction form
    1,588.88/2,365.30 = 1,580.24/x
  3. Step 3: Cross multiply
    1,588.88x = 2,365.30 × 1,580.24
  4. Step 4: Simplify right side
    1,588.88x = 3,737,741.67
  5. Step 5: Solve for x
    x = 3,737,741.67/1,588.88
  6. Step 6: Final answer
    x = 2,352.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.