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Finding the Fourth Proportional to 2,875.96, 3,970.40 and 1,757.16

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Solution

The fourth proportional to 2,875.96, 3,970.40 and 1,757.16 is: 2,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.96 : 3,970.40 = 1,757.16 : x
  2. Step 2: Convert to fraction form
    2,875.96/3,970.40 = 1,757.16/x
  3. Step 3: Cross multiply
    2,875.96x = 3,970.40 × 1,757.16
  4. Step 4: Simplify right side
    2,875.96x = 6,976,628.06
  5. Step 5: Solve for x
    x = 6,976,628.06/2,875.96
  6. Step 6: Final answer
    x = 2,425.84

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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.