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Finding the Fourth Proportional to 2,508.48, 3,461.76 and 1,460.16

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Solution

The fourth proportional to 2,508.48, 3,461.76 and 1,460.16 is: 2,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.48 : 3,461.76 = 1,460.16 : x
  2. Step 2: Convert to fraction form
    2,508.48/3,461.76 = 1,460.16/x
  3. Step 3: Cross multiply
    2,508.48x = 3,461.76 × 1,460.16
  4. Step 4: Simplify right side
    2,508.48x = 5,054,723.48
  5. Step 5: Solve for x
    x = 5,054,723.48/2,508.48
  6. Step 6: Final answer
    x = 2,015.05

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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.