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Finding the Fourth Proportional to 3,031.36, 4,548.48 and 1,492

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Solution

The fourth proportional to 3,031.36, 4,548.48 and 1,492 is: 2,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.36 : 4,548.48 = 1,492 : x
  2. Step 2: Convert to fraction form
    3,031.36/4,548.48 = 1,492/x
  3. Step 3: Cross multiply
    3,031.36x = 4,548.48 × 1,492
  4. Step 4: Simplify right side
    3,031.36x = 6,786,332.16
  5. Step 5: Solve for x
    x = 6,786,332.16/3,031.36
  6. Step 6: Final answer
    x = 2,238.71

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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.