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Finding the Fourth Proportional to 1,461.52, 2,030.91 and 1,446.52

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Solution

The fourth proportional to 1,461.52, 2,030.91 and 1,446.52 is: 2,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.52 : 2,030.91 = 1,446.52 : x
  2. Step 2: Convert to fraction form
    1,461.52/2,030.91 = 1,446.52/x
  3. Step 3: Cross multiply
    1,461.52x = 2,030.91 × 1,446.52
  4. Step 4: Simplify right side
    1,461.52x = 2,937,751.93
  5. Step 5: Solve for x
    x = 2,937,751.93/1,461.52
  6. Step 6: Final answer
    x = 2,010.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.