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Finding the Fourth Proportional to 2,430.54, 3,354.35 and 1,382.67

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Solution

The fourth proportional to 2,430.54, 3,354.35 and 1,382.67 is: 1,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.54 : 3,354.35 = 1,382.67 : x
  2. Step 2: Convert to fraction form
    2,430.54/3,354.35 = 1,382.67/x
  3. Step 3: Cross multiply
    2,430.54x = 3,354.35 × 1,382.67
  4. Step 4: Simplify right side
    2,430.54x = 4,637,952.20
  5. Step 5: Solve for x
    x = 4,637,952.20/2,430.54
  6. Step 6: Final answer
    x = 1,908.20

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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.