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Finding the Fourth Proportional to 1,335.50, 1,841.41 and 916.06

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Solution

The fourth proportional to 1,335.50, 1,841.41 and 916.06 is: 1,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.50 : 1,841.41 = 916.06 : x
  2. Step 2: Convert to fraction form
    1,335.50/1,841.41 = 916.06/x
  3. Step 3: Cross multiply
    1,335.50x = 1,841.41 × 916.06
  4. Step 4: Simplify right side
    1,335.50x = 1,686,842.04
  5. Step 5: Solve for x
    x = 1,686,842.04/1,335.50
  6. Step 6: Final answer
    x = 1,263.08

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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.