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Finding the Fourth Proportional to 2,459.84, 3,690.41 and 1,417.96

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Solution

The fourth proportional to 2,459.84, 3,690.41 and 1,417.96 is: 2,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.84 : 3,690.41 = 1,417.96 : x
  2. Step 2: Convert to fraction form
    2,459.84/3,690.41 = 1,417.96/x
  3. Step 3: Cross multiply
    2,459.84x = 3,690.41 × 1,417.96
  4. Step 4: Simplify right side
    2,459.84x = 5,232,851.29
  5. Step 5: Solve for x
    x = 5,232,851.29/2,459.84
  6. Step 6: Final answer
    x = 2,127.32

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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.