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Finding the Fourth Proportional to 1,823.64, 2,734.74 and 524.76

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Solution

The fourth proportional to 1,823.64, 2,734.74 and 524.76 is: 786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.64 : 2,734.74 = 524.76 : x
  2. Step 2: Convert to fraction form
    1,823.64/2,734.74 = 524.76/x
  3. Step 3: Cross multiply
    1,823.64x = 2,734.74 × 524.76
  4. Step 4: Simplify right side
    1,823.64x = 1,435,082.16
  5. Step 5: Solve for x
    x = 1,435,082.16/1,823.64
  6. Step 6: Final answer
    x = 786.93

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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.