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Finding the Fourth Proportional to 1,230.23, 1,848.54 and 924.97

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Solution

The fourth proportional to 1,230.23, 1,848.54 and 924.97 is: 1,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.23 : 1,848.54 = 924.97 : x
  2. Step 2: Convert to fraction form
    1,230.23/1,848.54 = 924.97/x
  3. Step 3: Cross multiply
    1,230.23x = 1,848.54 × 924.97
  4. Step 4: Simplify right side
    1,230.23x = 1,709,834.80
  5. Step 5: Solve for x
    x = 1,709,834.80/1,230.23
  6. Step 6: Final answer
    x = 1,389.85

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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.