Home / 2,130.37-3,194.47-975.13

Finding the Fourth Proportional to 2,130.37, 3,194.47 and 975.13

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Solution

The fourth proportional to 2,130.37, 3,194.47 and 975.13 is: 1,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.37 : 3,194.47 = 975.13 : x
  2. Step 2: Convert to fraction form
    2,130.37/3,194.47 = 975.13/x
  3. Step 3: Cross multiply
    2,130.37x = 3,194.47 × 975.13
  4. Step 4: Simplify right side
    2,130.37x = 3,115,002.68
  5. Step 5: Solve for x
    x = 3,115,002.68/2,130.37
  6. Step 6: Final answer
    x = 1,462.19

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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.