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Finding the Fourth Proportional to 1,664.84, 2,493.36 and 841.10

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Solution

The fourth proportional to 1,664.84, 2,493.36 and 841.10 is: 1,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.84 : 2,493.36 = 841.10 : x
  2. Step 2: Convert to fraction form
    1,664.84/2,493.36 = 841.10/x
  3. Step 3: Cross multiply
    1,664.84x = 2,493.36 × 841.10
  4. Step 4: Simplify right side
    1,664.84x = 2,097,165.10
  5. Step 5: Solve for x
    x = 2,097,165.10/1,664.84
  6. Step 6: Final answer
    x = 1,259.68

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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.