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Finding the Fourth Proportional to 2,724.16, 3,756.04 and 2,303.76

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Solution

The fourth proportional to 2,724.16, 3,756.04 and 2,303.76 is: 3,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.16 : 3,756.04 = 2,303.76 : x
  2. Step 2: Convert to fraction form
    2,724.16/3,756.04 = 2,303.76/x
  3. Step 3: Cross multiply
    2,724.16x = 3,756.04 × 2,303.76
  4. Step 4: Simplify right side
    2,724.16x = 8,653,014.71
  5. Step 5: Solve for x
    x = 8,653,014.71/2,724.16
  6. Step 6: Final answer
    x = 3,176.40

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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.