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Finding the Fourth Proportional to 1,903.64, 2,848.98 and 1,472.72

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Solution

The fourth proportional to 1,903.64, 2,848.98 and 1,472.72 is: 2,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.64 : 2,848.98 = 1,472.72 : x
  2. Step 2: Convert to fraction form
    1,903.64/2,848.98 = 1,472.72/x
  3. Step 3: Cross multiply
    1,903.64x = 2,848.98 × 1,472.72
  4. Step 4: Simplify right side
    1,903.64x = 4,195,749.83
  5. Step 5: Solve for x
    x = 4,195,749.83/1,903.64
  6. Step 6: Final answer
    x = 2,204.07

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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.