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Finding the Fourth Proportional to 1,903.40, 2,838.04 and 1,886.42

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Solution

The fourth proportional to 1,903.40, 2,838.04 and 1,886.42 is: 2,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.40 : 2,838.04 = 1,886.42 : x
  2. Step 2: Convert to fraction form
    1,903.40/2,838.04 = 1,886.42/x
  3. Step 3: Cross multiply
    1,903.40x = 2,838.04 × 1,886.42
  4. Step 4: Simplify right side
    1,903.40x = 5,353,735.42
  5. Step 5: Solve for x
    x = 5,353,735.42/1,903.40
  6. Step 6: Final answer
    x = 2,812.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.