Home / 1,583.08-2,184.42-919.96

Finding the Fourth Proportional to 1,583.08, 2,184.42 and 919.96

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Solution

The fourth proportional to 1,583.08, 2,184.42 and 919.96 is: 1,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.08 : 2,184.42 = 919.96 : x
  2. Step 2: Convert to fraction form
    1,583.08/2,184.42 = 919.96/x
  3. Step 3: Cross multiply
    1,583.08x = 2,184.42 × 919.96
  4. Step 4: Simplify right side
    1,583.08x = 2,009,579.02
  5. Step 5: Solve for x
    x = 2,009,579.02/1,583.08
  6. Step 6: Final answer
    x = 1,269.41

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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.