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Finding the Fourth Proportional to 2,346.96, 3,523 and 1,728.74

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Solution

The fourth proportional to 2,346.96, 3,523 and 1,728.74 is: 2,595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.96 : 3,523 = 1,728.74 : x
  2. Step 2: Convert to fraction form
    2,346.96/3,523 = 1,728.74/x
  3. Step 3: Cross multiply
    2,346.96x = 3,523 × 1,728.74
  4. Step 4: Simplify right side
    2,346.96x = 6,090,351.02
  5. Step 5: Solve for x
    x = 6,090,351.02/2,346.96
  6. Step 6: Final answer
    x = 2,595.00

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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.