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Finding the Fourth Proportional to 1,916.44, 2,875.35 and 943.22

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Solution

The fourth proportional to 1,916.44, 2,875.35 and 943.22 is: 1,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.44 : 2,875.35 = 943.22 : x
  2. Step 2: Convert to fraction form
    1,916.44/2,875.35 = 943.22/x
  3. Step 3: Cross multiply
    1,916.44x = 2,875.35 × 943.22
  4. Step 4: Simplify right side
    1,916.44x = 2,712,098.35
  5. Step 5: Solve for x
    x = 2,712,098.35/1,916.44
  6. Step 6: Final answer
    x = 1,415.18

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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.