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Finding the Fourth Proportional to 2,075.07, 3,111.93 and 688.14

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Solution

The fourth proportional to 2,075.07, 3,111.93 and 688.14 is: 1,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.07 : 3,111.93 = 688.14 : x
  2. Step 2: Convert to fraction form
    2,075.07/3,111.93 = 688.14/x
  3. Step 3: Cross multiply
    2,075.07x = 3,111.93 × 688.14
  4. Step 4: Simplify right side
    2,075.07x = 2,141,443.51
  5. Step 5: Solve for x
    x = 2,141,443.51/2,075.07
  6. Step 6: Final answer
    x = 1,031.99

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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.