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Finding the Fourth Proportional to 1,566.20, 2,161.56 and 903.06

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Solution

The fourth proportional to 1,566.20, 2,161.56 and 903.06 is: 1,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.20 : 2,161.56 = 903.06 : x
  2. Step 2: Convert to fraction form
    1,566.20/2,161.56 = 903.06/x
  3. Step 3: Cross multiply
    1,566.20x = 2,161.56 × 903.06
  4. Step 4: Simplify right side
    1,566.20x = 1,952,018.37
  5. Step 5: Solve for x
    x = 1,952,018.37/1,566.20
  6. Step 6: Final answer
    x = 1,246.34

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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.