Home / 2,153.52-2,971.80-1,222

Finding the Fourth Proportional to 2,153.52, 2,971.80 and 1,222

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Solution

The fourth proportional to 2,153.52, 2,971.80 and 1,222 is: 1,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.52 : 2,971.80 = 1,222 : x
  2. Step 2: Convert to fraction form
    2,153.52/2,971.80 = 1,222/x
  3. Step 3: Cross multiply
    2,153.52x = 2,971.80 × 1,222
  4. Step 4: Simplify right side
    2,153.52x = 3,631,539.60
  5. Step 5: Solve for x
    x = 3,631,539.60/2,153.52
  6. Step 6: Final answer
    x = 1,686.33

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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.