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Finding the Fourth Proportional to 2,508.95, 3,461.72 and 1,460.40

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Solution

The fourth proportional to 2,508.95, 3,461.72 and 1,460.40 is: 2,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.95 : 3,461.72 = 1,460.40 : x
  2. Step 2: Convert to fraction form
    2,508.95/3,461.72 = 1,460.40/x
  3. Step 3: Cross multiply
    2,508.95x = 3,461.72 × 1,460.40
  4. Step 4: Simplify right side
    2,508.95x = 5,055,488.59
  5. Step 5: Solve for x
    x = 5,055,488.59/2,508.95
  6. Step 6: Final answer
    x = 2,014.99

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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.