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Finding the Fourth Proportional to 2,455.10, 3,388.03 and 1,407.16

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Solution

The fourth proportional to 2,455.10, 3,388.03 and 1,407.16 is: 1,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.10 : 3,388.03 = 1,407.16 : x
  2. Step 2: Convert to fraction form
    2,455.10/3,388.03 = 1,407.16/x
  3. Step 3: Cross multiply
    2,455.10x = 3,388.03 × 1,407.16
  4. Step 4: Simplify right side
    2,455.10x = 4,767,483.35
  5. Step 5: Solve for x
    x = 4,767,483.35/2,455.10
  6. Step 6: Final answer
    x = 1,941.87

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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.