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Finding the Fourth Proportional to 1,494.84, 2,048.64 and 1,475.52

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Solution

The fourth proportional to 1,494.84, 2,048.64 and 1,475.52 is: 2,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.84 : 2,048.64 = 1,475.52 : x
  2. Step 2: Convert to fraction form
    1,494.84/2,048.64 = 1,475.52/x
  3. Step 3: Cross multiply
    1,494.84x = 2,048.64 × 1,475.52
  4. Step 4: Simplify right side
    1,494.84x = 3,022,809.29
  5. Step 5: Solve for x
    x = 3,022,809.29/1,494.84
  6. Step 6: Final answer
    x = 2,022.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.