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Finding the Fourth Proportional to 2,688.53, 3,710.10 and 1,509.47

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Solution

The fourth proportional to 2,688.53, 3,710.10 and 1,509.47 is: 2,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.53 : 3,710.10 = 1,509.47 : x
  2. Step 2: Convert to fraction form
    2,688.53/3,710.10 = 1,509.47/x
  3. Step 3: Cross multiply
    2,688.53x = 3,710.10 × 1,509.47
  4. Step 4: Simplify right side
    2,688.53x = 5,600,285.67
  5. Step 5: Solve for x
    x = 5,600,285.67/2,688.53
  6. Step 6: Final answer
    x = 2,083.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.