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Finding the Fourth Proportional to 1,829.72, 2,522.94 and 1,475.48

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Solution

The fourth proportional to 1,829.72, 2,522.94 and 1,475.48 is: 2,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.72 : 2,522.94 = 1,475.48 : x
  2. Step 2: Convert to fraction form
    1,829.72/2,522.94 = 1,475.48/x
  3. Step 3: Cross multiply
    1,829.72x = 2,522.94 × 1,475.48
  4. Step 4: Simplify right side
    1,829.72x = 3,722,547.51
  5. Step 5: Solve for x
    x = 3,722,547.51/1,829.72
  6. Step 6: Final answer
    x = 2,034.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.