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Finding the Fourth Proportional to 2,294.85, 3,457.57 and 2,075.72

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Solution

The fourth proportional to 2,294.85, 3,457.57 and 2,075.72 is: 3,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.85 : 3,457.57 = 2,075.72 : x
  2. Step 2: Convert to fraction form
    2,294.85/3,457.57 = 2,075.72/x
  3. Step 3: Cross multiply
    2,294.85x = 3,457.57 × 2,075.72
  4. Step 4: Simplify right side
    2,294.85x = 7,176,936.82
  5. Step 5: Solve for x
    x = 7,176,936.82/2,294.85
  6. Step 6: Final answer
    x = 3,127.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.