Home / 2,312.02-3,467.72-926.16

Finding the Fourth Proportional to 2,312.02, 3,467.72 and 926.16

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Solution

The fourth proportional to 2,312.02, 3,467.72 and 926.16 is: 1,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.02 : 3,467.72 = 926.16 : x
  2. Step 2: Convert to fraction form
    2,312.02/3,467.72 = 926.16/x
  3. Step 3: Cross multiply
    2,312.02x = 3,467.72 × 926.16
  4. Step 4: Simplify right side
    2,312.02x = 3,211,663.56
  5. Step 5: Solve for x
    x = 3,211,663.56/2,312.02
  6. Step 6: Final answer
    x = 1,389.12

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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.