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Finding the Fourth Proportional to 2,275.80, 3,415.02 and 1,496.76

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Solution

The fourth proportional to 2,275.80, 3,415.02 and 1,496.76 is: 2,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.80 : 3,415.02 = 1,496.76 : x
  2. Step 2: Convert to fraction form
    2,275.80/3,415.02 = 1,496.76/x
  3. Step 3: Cross multiply
    2,275.80x = 3,415.02 × 1,496.76
  4. Step 4: Simplify right side
    2,275.80x = 5,111,465.34
  5. Step 5: Solve for x
    x = 5,111,465.34/2,275.80
  6. Step 6: Final answer
    x = 2,246.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.