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Finding the Fourth Proportional to 1,916.85, 2,875.42 and 530.17

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Solution

The fourth proportional to 1,916.85, 2,875.42 and 530.17 is: 795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.85 : 2,875.42 = 530.17 : x
  2. Step 2: Convert to fraction form
    1,916.85/2,875.42 = 530.17/x
  3. Step 3: Cross multiply
    1,916.85x = 2,875.42 × 530.17
  4. Step 4: Simplify right side
    1,916.85x = 1,524,458.77
  5. Step 5: Solve for x
    x = 1,524,458.77/1,916.85
  6. Step 6: Final answer
    x = 795.30

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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.