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Finding the Fourth Proportional to 1,642.86, 2,461.49 and 992.22

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Solution

The fourth proportional to 1,642.86, 2,461.49 and 992.22 is: 1,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.86 : 2,461.49 = 992.22 : x
  2. Step 2: Convert to fraction form
    1,642.86/2,461.49 = 992.22/x
  3. Step 3: Cross multiply
    1,642.86x = 2,461.49 × 992.22
  4. Step 4: Simplify right side
    1,642.86x = 2,442,339.61
  5. Step 5: Solve for x
    x = 2,442,339.61/1,642.86
  6. Step 6: Final answer
    x = 1,486.64

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1.5x scale

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.