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Finding the Fourth Proportional to 1,740.96, 2,598.21 and 1,624.32

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Solution

The fourth proportional to 1,740.96, 2,598.21 and 1,624.32 is: 2,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.96 : 2,598.21 = 1,624.32 : x
  2. Step 2: Convert to fraction form
    1,740.96/2,598.21 = 1,624.32/x
  3. Step 3: Cross multiply
    1,740.96x = 2,598.21 × 1,624.32
  4. Step 4: Simplify right side
    1,740.96x = 4,220,324.47
  5. Step 5: Solve for x
    x = 4,220,324.47/1,740.96
  6. Step 6: Final answer
    x = 2,424.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.