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Finding the Fourth Proportional to 2,692.98, 4,038.03 and 1,582.79

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Solution

The fourth proportional to 2,692.98, 4,038.03 and 1,582.79 is: 2,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.98 : 4,038.03 = 1,582.79 : x
  2. Step 2: Convert to fraction form
    2,692.98/4,038.03 = 1,582.79/x
  3. Step 3: Cross multiply
    2,692.98x = 4,038.03 × 1,582.79
  4. Step 4: Simplify right side
    2,692.98x = 6,391,333.31
  5. Step 5: Solve for x
    x = 6,391,333.31/2,692.98
  6. Step 6: Final answer
    x = 2,373.33

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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.