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Finding the Fourth Proportional to 2,312.54, 3,468.80 and 581.16

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Solution

The fourth proportional to 2,312.54, 3,468.80 and 581.16 is: 871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.54 : 3,468.80 = 581.16 : x
  2. Step 2: Convert to fraction form
    2,312.54/3,468.80 = 581.16/x
  3. Step 3: Cross multiply
    2,312.54x = 3,468.80 × 581.16
  4. Step 4: Simplify right side
    2,312.54x = 2,015,927.81
  5. Step 5: Solve for x
    x = 2,015,927.81/2,312.54
  6. Step 6: Final answer
    x = 871.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.