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Finding the Fourth Proportional to 2,506.13, 3,457.24 and 1,655.71

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Solution

The fourth proportional to 2,506.13, 3,457.24 and 1,655.71 is: 2,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.13 : 3,457.24 = 1,655.71 : x
  2. Step 2: Convert to fraction form
    2,506.13/3,457.24 = 1,655.71/x
  3. Step 3: Cross multiply
    2,506.13x = 3,457.24 × 1,655.71
  4. Step 4: Simplify right side
    2,506.13x = 5,724,193.50
  5. Step 5: Solve for x
    x = 5,724,193.50/2,506.13
  6. Step 6: Final answer
    x = 2,284.08

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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.