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Finding the Fourth Proportional to 2,507.66, 3,460.12 and 1,499.11

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Solution

The fourth proportional to 2,507.66, 3,460.12 and 1,499.11 is: 2,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.66 : 3,460.12 = 1,499.11 : x
  2. Step 2: Convert to fraction form
    2,507.66/3,460.12 = 1,499.11/x
  3. Step 3: Cross multiply
    2,507.66x = 3,460.12 × 1,499.11
  4. Step 4: Simplify right side
    2,507.66x = 5,187,088.10
  5. Step 5: Solve for x
    x = 5,187,088.10/2,507.66
  6. Step 6: Final answer
    x = 2,068.50

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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.