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Finding the Fourth Proportional to 2,102.96, 3,154.68 and 564.08

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Solution

The fourth proportional to 2,102.96, 3,154.68 and 564.08 is: 846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.96 : 3,154.68 = 564.08 : x
  2. Step 2: Convert to fraction form
    2,102.96/3,154.68 = 564.08/x
  3. Step 3: Cross multiply
    2,102.96x = 3,154.68 × 564.08
  4. Step 4: Simplify right side
    2,102.96x = 1,779,491.89
  5. Step 5: Solve for x
    x = 1,779,491.89/2,102.96
  6. Step 6: Final answer
    x = 846.18

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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.