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Finding the Fourth Proportional to 2,937.60, 4,051.20 and 2,006.40

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Solution

The fourth proportional to 2,937.60, 4,051.20 and 2,006.40 is: 2,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.60 : 4,051.20 = 2,006.40 : x
  2. Step 2: Convert to fraction form
    2,937.60/4,051.20 = 2,006.40/x
  3. Step 3: Cross multiply
    2,937.60x = 4,051.20 × 2,006.40
  4. Step 4: Simplify right side
    2,937.60x = 8,128,327.68
  5. Step 5: Solve for x
    x = 8,128,327.68/2,937.60
  6. Step 6: Final answer
    x = 2,767.00

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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.