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Finding the Fourth Proportional to 2,470.34, 3,699.24 and 1,482.54

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Solution

The fourth proportional to 2,470.34, 3,699.24 and 1,482.54 is: 2,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.34 : 3,699.24 = 1,482.54 : x
  2. Step 2: Convert to fraction form
    2,470.34/3,699.24 = 1,482.54/x
  3. Step 3: Cross multiply
    2,470.34x = 3,699.24 × 1,482.54
  4. Step 4: Simplify right side
    2,470.34x = 5,484,271.27
  5. Step 5: Solve for x
    x = 5,484,271.27/2,470.34
  6. Step 6: Final answer
    x = 2,220.05

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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.