Home / 1,525.10-2,104.64-826.46

Finding the Fourth Proportional to 1,525.10, 2,104.64 and 826.46

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Solution

The fourth proportional to 1,525.10, 2,104.64 and 826.46 is: 1,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.10 : 2,104.64 = 826.46 : x
  2. Step 2: Convert to fraction form
    1,525.10/2,104.64 = 826.46/x
  3. Step 3: Cross multiply
    1,525.10x = 2,104.64 × 826.46
  4. Step 4: Simplify right side
    1,525.10x = 1,739,400.77
  5. Step 5: Solve for x
    x = 1,739,400.77/1,525.10
  6. Step 6: Final answer
    x = 1,140.52

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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.