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Finding the Fourth Proportional to 2,271.81, 3,407.43 and 606.06

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Solution

The fourth proportional to 2,271.81, 3,407.43 and 606.06 is: 909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.81 : 3,407.43 = 606.06 : x
  2. Step 2: Convert to fraction form
    2,271.81/3,407.43 = 606.06/x
  3. Step 3: Cross multiply
    2,271.81x = 3,407.43 × 606.06
  4. Step 4: Simplify right side
    2,271.81x = 2,065,104.00
  5. Step 5: Solve for x
    x = 2,065,104.00/2,271.81
  6. Step 6: Final answer
    x = 909.01

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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.