Home / 1,567.34-2,162.92-904.18

Finding the Fourth Proportional to 1,567.34, 2,162.92 and 904.18

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Solution

The fourth proportional to 1,567.34, 2,162.92 and 904.18 is: 1,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.34 : 2,162.92 = 904.18 : x
  2. Step 2: Convert to fraction form
    1,567.34/2,162.92 = 904.18/x
  3. Step 3: Cross multiply
    1,567.34x = 2,162.92 × 904.18
  4. Step 4: Simplify right side
    1,567.34x = 1,955,669.01
  5. Step 5: Solve for x
    x = 1,955,669.01/1,567.34
  6. Step 6: Final answer
    x = 1,247.76

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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.