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Finding the Fourth Proportional to 2,503.39, 3,455.09 and 1,456.06

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Solution

The fourth proportional to 2,503.39, 3,455.09 and 1,456.06 is: 2,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.39 : 3,455.09 = 1,456.06 : x
  2. Step 2: Convert to fraction form
    2,503.39/3,455.09 = 1,456.06/x
  3. Step 3: Cross multiply
    2,503.39x = 3,455.09 × 1,456.06
  4. Step 4: Simplify right side
    2,503.39x = 5,030,818.35
  5. Step 5: Solve for x
    x = 5,030,818.35/2,503.39
  6. Step 6: Final answer
    x = 2,009.60

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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.