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Finding the Fourth Proportional to 2,506.95, 3,460.62 and 1,699.59

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Solution

The fourth proportional to 2,506.95, 3,460.62 and 1,699.59 is: 2,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.95 : 3,460.62 = 1,699.59 : x
  2. Step 2: Convert to fraction form
    2,506.95/3,460.62 = 1,699.59/x
  3. Step 3: Cross multiply
    2,506.95x = 3,460.62 × 1,699.59
  4. Step 4: Simplify right side
    2,506.95x = 5,881,635.15
  5. Step 5: Solve for x
    x = 5,881,635.15/2,506.95
  6. Step 6: Final answer
    x = 2,346.13

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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.