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Finding the Fourth Proportional to 1,693.87, 2,541.08 and 598.55

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Solution

The fourth proportional to 1,693.87, 2,541.08 and 598.55 is: 897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.87 : 2,541.08 = 598.55 : x
  2. Step 2: Convert to fraction form
    1,693.87/2,541.08 = 598.55/x
  3. Step 3: Cross multiply
    1,693.87x = 2,541.08 × 598.55
  4. Step 4: Simplify right side
    1,693.87x = 1,520,952.22
  5. Step 5: Solve for x
    x = 1,520,952.22/1,693.87
  6. Step 6: Final answer
    x = 897.92

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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.