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Finding the Fourth Proportional to 1,973.64, 2,721.70 and 1,830.48

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Solution

The fourth proportional to 1,973.64, 2,721.70 and 1,830.48 is: 2,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.64 : 2,721.70 = 1,830.48 : x
  2. Step 2: Convert to fraction form
    1,973.64/2,721.70 = 1,830.48/x
  3. Step 3: Cross multiply
    1,973.64x = 2,721.70 × 1,830.48
  4. Step 4: Simplify right side
    1,973.64x = 4,982,017.42
  5. Step 5: Solve for x
    x = 4,982,017.42/1,973.64
  6. Step 6: Final answer
    x = 2,524.28

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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.