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Finding the Fourth Proportional to 3,014.61, 4,160.61 and 1,756.41

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Solution

The fourth proportional to 3,014.61, 4,160.61 and 1,756.41 is: 2,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.61 : 4,160.61 = 1,756.41 : x
  2. Step 2: Convert to fraction form
    3,014.61/4,160.61 = 1,756.41/x
  3. Step 3: Cross multiply
    3,014.61x = 4,160.61 × 1,756.41
  4. Step 4: Simplify right side
    3,014.61x = 7,307,737.01
  5. Step 5: Solve for x
    x = 7,307,737.01/3,014.61
  6. Step 6: Final answer
    x = 2,424.11

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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.