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Finding the Fourth Proportional to 1,456.74, 2,170.62 and 1,303.56

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Solution

The fourth proportional to 1,456.74, 2,170.62 and 1,303.56 is: 1,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.74 : 2,170.62 = 1,303.56 : x
  2. Step 2: Convert to fraction form
    1,456.74/2,170.62 = 1,303.56/x
  3. Step 3: Cross multiply
    1,456.74x = 2,170.62 × 1,303.56
  4. Step 4: Simplify right side
    1,456.74x = 2,829,533.41
  5. Step 5: Solve for x
    x = 2,829,533.41/1,456.74
  6. Step 6: Final answer
    x = 1,942.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.