Home / 2,577.60-3,868.08-1,424.16

Finding the Fourth Proportional to 2,577.60, 3,868.08 and 1,424.16

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Solution

The fourth proportional to 2,577.60, 3,868.08 and 1,424.16 is: 2,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.60 : 3,868.08 = 1,424.16 : x
  2. Step 2: Convert to fraction form
    2,577.60/3,868.08 = 1,424.16/x
  3. Step 3: Cross multiply
    2,577.60x = 3,868.08 × 1,424.16
  4. Step 4: Simplify right side
    2,577.60x = 5,508,764.81
  5. Step 5: Solve for x
    x = 5,508,764.81/2,577.60
  6. Step 6: Final answer
    x = 2,137.17

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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.