Home / 1,567.14-2,162.55-904.02

Finding the Fourth Proportional to 1,567.14, 2,162.55 and 904.02

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Solution

The fourth proportional to 1,567.14, 2,162.55 and 904.02 is: 1,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.14 : 2,162.55 = 904.02 : x
  2. Step 2: Convert to fraction form
    1,567.14/2,162.55 = 904.02/x
  3. Step 3: Cross multiply
    1,567.14x = 2,162.55 × 904.02
  4. Step 4: Simplify right side
    1,567.14x = 1,954,988.45
  5. Step 5: Solve for x
    x = 1,954,988.45/1,567.14
  6. Step 6: Final answer
    x = 1,247.49

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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.