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Finding the Fourth Proportional to 2,710.34, 4,065.51 and 2,535.38

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Solution

The fourth proportional to 2,710.34, 4,065.51 and 2,535.38 is: 3,803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.34 : 4,065.51 = 2,535.38 : x
  2. Step 2: Convert to fraction form
    2,710.34/4,065.51 = 2,535.38/x
  3. Step 3: Cross multiply
    2,710.34x = 4,065.51 × 2,535.38
  4. Step 4: Simplify right side
    2,710.34x = 10,307,612.74
  5. Step 5: Solve for x
    x = 10,307,612.74/2,710.34
  6. Step 6: Final answer
    x = 3,803.07

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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.