Home / 1,577.50-2,177.08-914.60

Finding the Fourth Proportional to 1,577.50, 2,177.08 and 914.60

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Solution

The fourth proportional to 1,577.50, 2,177.08 and 914.60 is: 1,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.50 : 2,177.08 = 914.60 : x
  2. Step 2: Convert to fraction form
    1,577.50/2,177.08 = 914.60/x
  3. Step 3: Cross multiply
    1,577.50x = 2,177.08 × 914.60
  4. Step 4: Simplify right side
    1,577.50x = 1,991,157.37
  5. Step 5: Solve for x
    x = 1,991,157.37/1,577.50
  6. Step 6: Final answer
    x = 1,262.22

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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.