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Finding the Fourth Proportional to 2,291.09, 3,437.42 and 903.63

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Solution

The fourth proportional to 2,291.09, 3,437.42 and 903.63 is: 1,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.09 : 3,437.42 = 903.63 : x
  2. Step 2: Convert to fraction form
    2,291.09/3,437.42 = 903.63/x
  3. Step 3: Cross multiply
    2,291.09x = 3,437.42 × 903.63
  4. Step 4: Simplify right side
    2,291.09x = 3,106,151.32
  5. Step 5: Solve for x
    x = 3,106,151.32/2,291.09
  6. Step 6: Final answer
    x = 1,355.75

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1.5x scale

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.