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Finding the Fourth Proportional to 1,693.74, 2,541.41 and 598.62

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Solution

The fourth proportional to 1,693.74, 2,541.41 and 598.62 is: 898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.74 : 2,541.41 = 598.62 : x
  2. Step 2: Convert to fraction form
    1,693.74/2,541.41 = 598.62/x
  3. Step 3: Cross multiply
    1,693.74x = 2,541.41 × 598.62
  4. Step 4: Simplify right side
    1,693.74x = 1,521,335.86
  5. Step 5: Solve for x
    x = 1,521,335.86/1,693.74
  6. Step 6: Final answer
    x = 898.21

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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.