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Finding the Fourth Proportional to 3,130.47, 4,693.28 and 1,830.42

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Solution

The fourth proportional to 3,130.47, 4,693.28 and 1,830.42 is: 2,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.47 : 4,693.28 = 1,830.42 : x
  2. Step 2: Convert to fraction form
    3,130.47/4,693.28 = 1,830.42/x
  3. Step 3: Cross multiply
    3,130.47x = 4,693.28 × 1,830.42
  4. Step 4: Simplify right side
    3,130.47x = 8,590,664.43
  5. Step 5: Solve for x
    x = 8,590,664.43/3,130.47
  6. Step 6: Final answer
    x = 2,744.21

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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.