Home / 2,032.04-3,047.75-782.31

Finding the Fourth Proportional to 2,032.04, 3,047.75 and 782.31

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Solution

The fourth proportional to 2,032.04, 3,047.75 and 782.31 is: 1,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.04 : 3,047.75 = 782.31 : x
  2. Step 2: Convert to fraction form
    2,032.04/3,047.75 = 782.31/x
  3. Step 3: Cross multiply
    2,032.04x = 3,047.75 × 782.31
  4. Step 4: Simplify right side
    2,032.04x = 2,384,268.11
  5. Step 5: Solve for x
    x = 2,384,268.11/2,032.04
  6. Step 6: Final answer
    x = 1,173.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.