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Finding the Fourth Proportional to 1,443.59, 2,165.99 and 924.18

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Solution

The fourth proportional to 1,443.59, 2,165.99 and 924.18 is: 1,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.59 : 2,165.99 = 924.18 : x
  2. Step 2: Convert to fraction form
    1,443.59/2,165.99 = 924.18/x
  3. Step 3: Cross multiply
    1,443.59x = 2,165.99 × 924.18
  4. Step 4: Simplify right side
    1,443.59x = 2,001,751.89
  5. Step 5: Solve for x
    x = 2,001,751.89/1,443.59
  6. Step 6: Final answer
    x = 1,386.65

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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.