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Finding the Fourth Proportional to 1,690.03, 2,523.24 and 1,458.67

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Solution

The fourth proportional to 1,690.03, 2,523.24 and 1,458.67 is: 2,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.03 : 2,523.24 = 1,458.67 : x
  2. Step 2: Convert to fraction form
    1,690.03/2,523.24 = 1,458.67/x
  3. Step 3: Cross multiply
    1,690.03x = 2,523.24 × 1,458.67
  4. Step 4: Simplify right side
    1,690.03x = 3,680,574.49
  5. Step 5: Solve for x
    x = 3,680,574.49/1,690.03
  6. Step 6: Final answer
    x = 2,177.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.