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Finding the Fourth Proportional to 2,319.84, 3,476.85 and 1,658.28

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Solution

The fourth proportional to 2,319.84, 3,476.85 and 1,658.28 is: 2,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.84 : 3,476.85 = 1,658.28 : x
  2. Step 2: Convert to fraction form
    2,319.84/3,476.85 = 1,658.28/x
  3. Step 3: Cross multiply
    2,319.84x = 3,476.85 × 1,658.28
  4. Step 4: Simplify right side
    2,319.84x = 5,765,590.82
  5. Step 5: Solve for x
    x = 5,765,590.82/2,319.84
  6. Step 6: Final answer
    x = 2,485.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.