Home / 1,580.70-2,181.34-882.07

Finding the Fourth Proportional to 1,580.70, 2,181.34 and 882.07

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Solution

The fourth proportional to 1,580.70, 2,181.34 and 882.07 is: 1,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.70 : 2,181.34 = 882.07 : x
  2. Step 2: Convert to fraction form
    1,580.70/2,181.34 = 882.07/x
  3. Step 3: Cross multiply
    1,580.70x = 2,181.34 × 882.07
  4. Step 4: Simplify right side
    1,580.70x = 1,924,094.57
  5. Step 5: Solve for x
    x = 1,924,094.57/1,580.70
  6. Step 6: Final answer
    x = 1,217.24

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1.5x scale

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.