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Finding the Fourth Proportional to 1,973.90, 2,959.82 and 587.04

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Solution

The fourth proportional to 1,973.90, 2,959.82 and 587.04 is: 880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.90 : 2,959.82 = 587.04 : x
  2. Step 2: Convert to fraction form
    1,973.90/2,959.82 = 587.04/x
  3. Step 3: Cross multiply
    1,973.90x = 2,959.82 × 587.04
  4. Step 4: Simplify right side
    1,973.90x = 1,737,532.73
  5. Step 5: Solve for x
    x = 1,737,532.73/1,973.90
  6. Step 6: Final answer
    x = 880.25

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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.