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Finding the Fourth Proportional to 1,904.62, 2,856.72 and 606.19

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Solution

The fourth proportional to 1,904.62, 2,856.72 and 606.19 is: 909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.62 : 2,856.72 = 606.19 : x
  2. Step 2: Convert to fraction form
    1,904.62/2,856.72 = 606.19/x
  3. Step 3: Cross multiply
    1,904.62x = 2,856.72 × 606.19
  4. Step 4: Simplify right side
    1,904.62x = 1,731,715.10
  5. Step 5: Solve for x
    x = 1,731,715.10/1,904.62
  6. Step 6: Final answer
    x = 909.22

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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.