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Finding the Fourth Proportional to 1,916.84, 2,874.78 and 530.28

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Solution

The fourth proportional to 1,916.84, 2,874.78 and 530.28 is: 795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.84 : 2,874.78 = 530.28 : x
  2. Step 2: Convert to fraction form
    1,916.84/2,874.78 = 530.28/x
  3. Step 3: Cross multiply
    1,916.84x = 2,874.78 × 530.28
  4. Step 4: Simplify right side
    1,916.84x = 1,524,438.34
  5. Step 5: Solve for x
    x = 1,524,438.34/1,916.84
  6. Step 6: Final answer
    x = 795.29

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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.