Home / 2,971.50-4,459.78-1,656.56

Finding the Fourth Proportional to 2,971.50, 4,459.78 and 1,656.56

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Solution

The fourth proportional to 2,971.50, 4,459.78 and 1,656.56 is: 2,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.50 : 4,459.78 = 1,656.56 : x
  2. Step 2: Convert to fraction form
    2,971.50/4,459.78 = 1,656.56/x
  3. Step 3: Cross multiply
    2,971.50x = 4,459.78 × 1,656.56
  4. Step 4: Simplify right side
    2,971.50x = 7,387,893.16
  5. Step 5: Solve for x
    x = 7,387,893.16/2,971.50
  6. Step 6: Final answer
    x = 2,486.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.