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Finding the Fourth Proportional to 3,130.40, 4,692.49 and 1,565.63

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Solution

The fourth proportional to 3,130.40, 4,692.49 and 1,565.63 is: 2,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.40 : 4,692.49 = 1,565.63 : x
  2. Step 2: Convert to fraction form
    3,130.40/4,692.49 = 1,565.63/x
  3. Step 3: Cross multiply
    3,130.40x = 4,692.49 × 1,565.63
  4. Step 4: Simplify right side
    3,130.40x = 7,346,703.24
  5. Step 5: Solve for x
    x = 7,346,703.24/3,130.40
  6. Step 6: Final answer
    x = 2,346.89

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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.