Home / 1,723.24-2,378.02-977.27

Finding the Fourth Proportional to 1,723.24, 2,378.02 and 977.27

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Solution

The fourth proportional to 1,723.24, 2,378.02 and 977.27 is: 1,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.24 : 2,378.02 = 977.27 : x
  2. Step 2: Convert to fraction form
    1,723.24/2,378.02 = 977.27/x
  3. Step 3: Cross multiply
    1,723.24x = 2,378.02 × 977.27
  4. Step 4: Simplify right side
    1,723.24x = 2,323,967.61
  5. Step 5: Solve for x
    x = 2,323,967.61/1,723.24
  6. Step 6: Final answer
    x = 1,348.60

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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.