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Finding the Fourth Proportional to 2,130.78, 2,938.81 and 1,384.98

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Solution

The fourth proportional to 2,130.78, 2,938.81 and 1,384.98 is: 1,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.78 : 2,938.81 = 1,384.98 : x
  2. Step 2: Convert to fraction form
    2,130.78/2,938.81 = 1,384.98/x
  3. Step 3: Cross multiply
    2,130.78x = 2,938.81 × 1,384.98
  4. Step 4: Simplify right side
    2,130.78x = 4,070,193.07
  5. Step 5: Solve for x
    x = 4,070,193.07/2,130.78
  6. Step 6: Final answer
    x = 1,910.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.