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Finding the Fourth Proportional to 2,154.16, 3,230.70 and 594.08

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Solution

The fourth proportional to 2,154.16, 3,230.70 and 594.08 is: 890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.16 : 3,230.70 = 594.08 : x
  2. Step 2: Convert to fraction form
    2,154.16/3,230.70 = 594.08/x
  3. Step 3: Cross multiply
    2,154.16x = 3,230.70 × 594.08
  4. Step 4: Simplify right side
    2,154.16x = 1,919,306.37
  5. Step 5: Solve for x
    x = 1,919,306.37/2,154.16
  6. Step 6: Final answer
    x = 890.98

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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.