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Finding the Fourth Proportional to 1,580.51, 2,180.43 and 951.03

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Solution

The fourth proportional to 1,580.51, 2,180.43 and 951.03 is: 1,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.51 : 2,180.43 = 951.03 : x
  2. Step 2: Convert to fraction form
    1,580.51/2,180.43 = 951.03/x
  3. Step 3: Cross multiply
    1,580.51x = 2,180.43 × 951.03
  4. Step 4: Simplify right side
    1,580.51x = 2,073,654.34
  5. Step 5: Solve for x
    x = 2,073,654.34/1,580.51
  6. Step 6: Final answer
    x = 1,312.02

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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.