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Finding the Fourth Proportional to 2,383.83, 3,576.76 and 924.01

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Solution

The fourth proportional to 2,383.83, 3,576.76 and 924.01 is: 1,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.83 : 3,576.76 = 924.01 : x
  2. Step 2: Convert to fraction form
    2,383.83/3,576.76 = 924.01/x
  3. Step 3: Cross multiply
    2,383.83x = 3,576.76 × 924.01
  4. Step 4: Simplify right side
    2,383.83x = 3,304,950.76
  5. Step 5: Solve for x
    x = 3,304,950.76/2,383.83
  6. Step 6: Final answer
    x = 1,386.40

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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.