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Finding the Fourth Proportional to 1,574.67, 2,361.12 and 649.46

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Solution

The fourth proportional to 1,574.67, 2,361.12 and 649.46 is: 973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.67 : 2,361.12 = 649.46 : x
  2. Step 2: Convert to fraction form
    1,574.67/2,361.12 = 649.46/x
  3. Step 3: Cross multiply
    1,574.67x = 2,361.12 × 649.46
  4. Step 4: Simplify right side
    1,574.67x = 1,533,456.46
  5. Step 5: Solve for x
    x = 1,533,456.46/1,574.67
  6. Step 6: Final answer
    x = 973.82

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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.