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Finding the Fourth Proportional to 1,895.72, 2,830.96 and 1,875.38

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Solution

The fourth proportional to 1,895.72, 2,830.96 and 1,875.38 is: 2,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.72 : 2,830.96 = 1,875.38 : x
  2. Step 2: Convert to fraction form
    1,895.72/2,830.96 = 1,875.38/x
  3. Step 3: Cross multiply
    1,895.72x = 2,830.96 × 1,875.38
  4. Step 4: Simplify right side
    1,895.72x = 5,309,125.76
  5. Step 5: Solve for x
    x = 5,309,125.76/1,895.72
  6. Step 6: Final answer
    x = 2,800.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.