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Finding the Fourth Proportional to 2,507.88, 3,461.00 and 1,388.94

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Solution

The fourth proportional to 2,507.88, 3,461.00 and 1,388.94 is: 1,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.88 : 3,461.00 = 1,388.94 : x
  2. Step 2: Convert to fraction form
    2,507.88/3,461.00 = 1,388.94/x
  3. Step 3: Cross multiply
    2,507.88x = 3,461.00 × 1,388.94
  4. Step 4: Simplify right side
    2,507.88x = 4,807,114.40
  5. Step 5: Solve for x
    x = 4,807,114.40/2,507.88
  6. Step 6: Final answer
    x = 1,916.80

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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.