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Finding the Fourth Proportional to 1,762.23, 2,431.95 and 976.28

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Solution

The fourth proportional to 1,762.23, 2,431.95 and 976.28 is: 1,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.23 : 2,431.95 = 976.28 : x
  2. Step 2: Convert to fraction form
    1,762.23/2,431.95 = 976.28/x
  3. Step 3: Cross multiply
    1,762.23x = 2,431.95 × 976.28
  4. Step 4: Simplify right side
    1,762.23x = 2,374,251.99
  5. Step 5: Solve for x
    x = 2,374,251.99/1,762.23
  6. Step 6: Final answer
    x = 1,347.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.