Home / 1,604.96-2,214.19-975.25

Finding the Fourth Proportional to 1,604.96, 2,214.19 and 975.25

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Solution

The fourth proportional to 1,604.96, 2,214.19 and 975.25 is: 1,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.96 : 2,214.19 = 975.25 : x
  2. Step 2: Convert to fraction form
    1,604.96/2,214.19 = 975.25/x
  3. Step 3: Cross multiply
    1,604.96x = 2,214.19 × 975.25
  4. Step 4: Simplify right side
    1,604.96x = 2,159,388.80
  5. Step 5: Solve for x
    x = 2,159,388.80/1,604.96
  6. Step 6: Final answer
    x = 1,345.45

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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.