Home / 1,525.14-2,287.70-1,406.24

Finding the Fourth Proportional to 1,525.14, 2,287.70 and 1,406.24

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Solution

The fourth proportional to 1,525.14, 2,287.70 and 1,406.24 is: 2,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.14 : 2,287.70 = 1,406.24 : x
  2. Step 2: Convert to fraction form
    1,525.14/2,287.70 = 1,406.24/x
  3. Step 3: Cross multiply
    1,525.14x = 2,287.70 × 1,406.24
  4. Step 4: Simplify right side
    1,525.14x = 3,217,055.25
  5. Step 5: Solve for x
    x = 3,217,055.25/1,525.14
  6. Step 6: Final answer
    x = 2,109.35

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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.