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Finding the Fourth Proportional to 1,673.55, 2,309.63 and 927.58

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Solution

The fourth proportional to 1,673.55, 2,309.63 and 927.58 is: 1,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.55 : 2,309.63 = 927.58 : x
  2. Step 2: Convert to fraction form
    1,673.55/2,309.63 = 927.58/x
  3. Step 3: Cross multiply
    1,673.55x = 2,309.63 × 927.58
  4. Step 4: Simplify right side
    1,673.55x = 2,142,350.41
  5. Step 5: Solve for x
    x = 2,142,350.41/1,673.55
  6. Step 6: Final answer
    x = 1,280.13

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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.