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Finding the Fourth Proportional to 1,880.51, 2,820.80 and 1,057.01

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Solution

The fourth proportional to 1,880.51, 2,820.80 and 1,057.01 is: 1,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.51 : 2,820.80 = 1,057.01 : x
  2. Step 2: Convert to fraction form
    1,880.51/2,820.80 = 1,057.01/x
  3. Step 3: Cross multiply
    1,880.51x = 2,820.80 × 1,057.01
  4. Step 4: Simplify right side
    1,880.51x = 2,981,602.35
  5. Step 5: Solve for x
    x = 2,981,602.35/1,880.51
  6. Step 6: Final answer
    x = 1,585.53

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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.