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Finding the Fourth Proportional to 2,822.51, 4,233.87 and 973.61

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Solution

The fourth proportional to 2,822.51, 4,233.87 and 973.61 is: 1,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.51 : 4,233.87 = 973.61 : x
  2. Step 2: Convert to fraction form
    2,822.51/4,233.87 = 973.61/x
  3. Step 3: Cross multiply
    2,822.51x = 4,233.87 × 973.61
  4. Step 4: Simplify right side
    2,822.51x = 4,122,138.17
  5. Step 5: Solve for x
    x = 4,122,138.17/2,822.51
  6. Step 6: Final answer
    x = 1,460.45

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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.