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Finding the Fourth Proportional to 2,925.34, 4,389.05 and 1,828.42

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Solution

The fourth proportional to 2,925.34, 4,389.05 and 1,828.42 is: 2,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.34 : 4,389.05 = 1,828.42 : x
  2. Step 2: Convert to fraction form
    2,925.34/4,389.05 = 1,828.42/x
  3. Step 3: Cross multiply
    2,925.34x = 4,389.05 × 1,828.42
  4. Step 4: Simplify right side
    2,925.34x = 8,025,026.80
  5. Step 5: Solve for x
    x = 8,025,026.80/2,925.34
  6. Step 6: Final answer
    x = 2,743.28

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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.