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Finding the Fourth Proportional to 1,704.10, 2,554.02 and 924.10

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Solution

The fourth proportional to 1,704.10, 2,554.02 and 924.10 is: 1,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.10 : 2,554.02 = 924.10 : x
  2. Step 2: Convert to fraction form
    1,704.10/2,554.02 = 924.10/x
  3. Step 3: Cross multiply
    1,704.10x = 2,554.02 × 924.10
  4. Step 4: Simplify right side
    1,704.10x = 2,360,169.88
  5. Step 5: Solve for x
    x = 2,360,169.88/1,704.10
  6. Step 6: Final answer
    x = 1,384.99

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Why These Related Problems?

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