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Finding the Fourth Proportional to 3,048.66, 4,573.34 and 1,664

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Solution

The fourth proportional to 3,048.66, 4,573.34 and 1,664 is: 2,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.66 : 4,573.34 = 1,664 : x
  2. Step 2: Convert to fraction form
    3,048.66/4,573.34 = 1,664/x
  3. Step 3: Cross multiply
    3,048.66x = 4,573.34 × 1,664
  4. Step 4: Simplify right side
    3,048.66x = 7,610,037.76
  5. Step 5: Solve for x
    x = 7,610,037.76/3,048.66
  6. Step 6: Final answer
    x = 2,496.19

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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.