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Finding the Fourth Proportional to 2,328.32, 3,509.06 and 2,328.32

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Solution

The fourth proportional to 2,328.32, 3,509.06 and 2,328.32 is: 3,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.32 : 3,509.06 = 2,328.32 : x
  2. Step 2: Convert to fraction form
    2,328.32/3,509.06 = 2,328.32/x
  3. Step 3: Cross multiply
    2,328.32x = 3,509.06 × 2,328.32
  4. Step 4: Simplify right side
    2,328.32x = 8,170,214.58
  5. Step 5: Solve for x
    x = 8,170,214.58/2,328.32
  6. Step 6: Final answer
    x = 3,509.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.