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Finding the Fourth Proportional to 2,484.16, 3,725.43 and 840.40

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Solution

The fourth proportional to 2,484.16, 3,725.43 and 840.40 is: 1,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.16 : 3,725.43 = 840.40 : x
  2. Step 2: Convert to fraction form
    2,484.16/3,725.43 = 840.40/x
  3. Step 3: Cross multiply
    2,484.16x = 3,725.43 × 840.40
  4. Step 4: Simplify right side
    2,484.16x = 3,130,851.37
  5. Step 5: Solve for x
    x = 3,130,851.37/2,484.16
  6. Step 6: Final answer
    x = 1,260.33

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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.