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Finding the Fourth Proportional to 2,075.31, 3,111.95 and 688.18

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Solution

The fourth proportional to 2,075.31, 3,111.95 and 688.18 is: 1,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.31 : 3,111.95 = 688.18 : x
  2. Step 2: Convert to fraction form
    2,075.31/3,111.95 = 688.18/x
  3. Step 3: Cross multiply
    2,075.31x = 3,111.95 × 688.18
  4. Step 4: Simplify right side
    2,075.31x = 2,141,581.75
  5. Step 5: Solve for x
    x = 2,141,581.75/2,075.31
  6. Step 6: Final answer
    x = 1,031.93

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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.