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Finding the Fourth Proportional to 1,646.48, 2,448.53 and 1,594.56

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Solution

The fourth proportional to 1,646.48, 2,448.53 and 1,594.56 is: 2,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.48 : 2,448.53 = 1,594.56 : x
  2. Step 2: Convert to fraction form
    1,646.48/2,448.53 = 1,594.56/x
  3. Step 3: Cross multiply
    1,646.48x = 2,448.53 × 1,594.56
  4. Step 4: Simplify right side
    1,646.48x = 3,904,320.02
  5. Step 5: Solve for x
    x = 3,904,320.02/1,646.48
  6. Step 6: Final answer
    x = 2,371.32

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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.