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Finding the Fourth Proportional to 2,457.34, 3,395.11 and 1,714.61

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Solution

The fourth proportional to 2,457.34, 3,395.11 and 1,714.61 is: 2,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.34 : 3,395.11 = 1,714.61 : x
  2. Step 2: Convert to fraction form
    2,457.34/3,395.11 = 1,714.61/x
  3. Step 3: Cross multiply
    2,457.34x = 3,395.11 × 1,714.61
  4. Step 4: Simplify right side
    2,457.34x = 5,821,293.76
  5. Step 5: Solve for x
    x = 5,821,293.76/2,457.34
  6. Step 6: Final answer
    x = 2,368.94

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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.