Home / 1,656.41-2,285.51-984.20

Finding the Fourth Proportional to 1,656.41, 2,285.51 and 984.20

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Solution

The fourth proportional to 1,656.41, 2,285.51 and 984.20 is: 1,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.41 : 2,285.51 = 984.20 : x
  2. Step 2: Convert to fraction form
    1,656.41/2,285.51 = 984.20/x
  3. Step 3: Cross multiply
    1,656.41x = 2,285.51 × 984.20
  4. Step 4: Simplify right side
    1,656.41x = 2,249,382.59
  5. Step 5: Solve for x
    x = 2,249,382.59/1,656.41
  6. Step 6: Final answer
    x = 1,357.99

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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.