Home / 1,509.23-2,082.72-846.06

Finding the Fourth Proportional to 1,509.23, 2,082.72 and 846.06

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Solution

The fourth proportional to 1,509.23, 2,082.72 and 846.06 is: 1,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.23 : 2,082.72 = 846.06 : x
  2. Step 2: Convert to fraction form
    1,509.23/2,082.72 = 846.06/x
  3. Step 3: Cross multiply
    1,509.23x = 2,082.72 × 846.06
  4. Step 4: Simplify right side
    1,509.23x = 1,762,106.08
  5. Step 5: Solve for x
    x = 1,762,106.08/1,509.23
  6. Step 6: Final answer
    x = 1,167.56

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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.