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Finding the Fourth Proportional to 1,875.38, 2,811.51 and 780.53

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Solution

The fourth proportional to 1,875.38, 2,811.51 and 780.53 is: 1,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.38 : 2,811.51 = 780.53 : x
  2. Step 2: Convert to fraction form
    1,875.38/2,811.51 = 780.53/x
  3. Step 3: Cross multiply
    1,875.38x = 2,811.51 × 780.53
  4. Step 4: Simplify right side
    1,875.38x = 2,194,453.84
  5. Step 5: Solve for x
    x = 2,194,453.84/1,875.38
  6. Step 6: Final answer
    x = 1,170.14

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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.