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Finding the Fourth Proportional to 2,401.93, 3,602.90 and 1,854.91

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Solution

The fourth proportional to 2,401.93, 3,602.90 and 1,854.91 is: 2,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.93 : 3,602.90 = 1,854.91 : x
  2. Step 2: Convert to fraction form
    2,401.93/3,602.90 = 1,854.91/x
  3. Step 3: Cross multiply
    2,401.93x = 3,602.90 × 1,854.91
  4. Step 4: Simplify right side
    2,401.93x = 6,683,055.24
  5. Step 5: Solve for x
    x = 6,683,055.24/2,401.93
  6. Step 6: Final answer
    x = 2,782.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.