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Finding the Fourth Proportional to 1,742.00, 2,614.01 and 647.10

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Solution

The fourth proportional to 1,742.00, 2,614.01 and 647.10 is: 971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.00 : 2,614.01 = 647.10 : x
  2. Step 2: Convert to fraction form
    1,742.00/2,614.01 = 647.10/x
  3. Step 3: Cross multiply
    1,742.00x = 2,614.01 × 647.10
  4. Step 4: Simplify right side
    1,742.00x = 1,691,522.64
  5. Step 5: Solve for x
    x = 1,691,522.64/1,742.00
  6. Step 6: Final answer
    x = 971.03

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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.