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Finding the Fourth Proportional to 2,023.40, 3,035.04 and 1,564.04

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Solution

The fourth proportional to 2,023.40, 3,035.04 and 1,564.04 is: 2,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.40 : 3,035.04 = 1,564.04 : x
  2. Step 2: Convert to fraction form
    2,023.40/3,035.04 = 1,564.04/x
  3. Step 3: Cross multiply
    2,023.40x = 3,035.04 × 1,564.04
  4. Step 4: Simplify right side
    2,023.40x = 4,746,923.96
  5. Step 5: Solve for x
    x = 4,746,923.96/2,023.40
  6. Step 6: Final answer
    x = 2,346.01

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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.