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Finding the Fourth Proportional to 2,412.59, 3,329.51 and 1,822.10

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Solution

The fourth proportional to 2,412.59, 3,329.51 and 1,822.10 is: 2,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.59 : 3,329.51 = 1,822.10 : x
  2. Step 2: Convert to fraction form
    2,412.59/3,329.51 = 1,822.10/x
  3. Step 3: Cross multiply
    2,412.59x = 3,329.51 × 1,822.10
  4. Step 4: Simplify right side
    2,412.59x = 6,066,674.41
  5. Step 5: Solve for x
    x = 6,066,674.41/2,412.59
  6. Step 6: Final answer
    x = 2,514.60

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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.