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Finding the Fourth Proportional to 2,507.35, 3,461.53 and 1,512.88

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Solution

The fourth proportional to 2,507.35, 3,461.53 and 1,512.88 is: 2,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.35 : 3,461.53 = 1,512.88 : x
  2. Step 2: Convert to fraction form
    2,507.35/3,461.53 = 1,512.88/x
  3. Step 3: Cross multiply
    2,507.35x = 3,461.53 × 1,512.88
  4. Step 4: Simplify right side
    2,507.35x = 5,236,879.51
  5. Step 5: Solve for x
    x = 5,236,879.51/2,507.35
  6. Step 6: Final answer
    x = 2,088.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.