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Finding the Fourth Proportional to 2,477.09, 3,714.86 and 895.61

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Solution

The fourth proportional to 2,477.09, 3,714.86 and 895.61 is: 1,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.09 : 3,714.86 = 895.61 : x
  2. Step 2: Convert to fraction form
    2,477.09/3,714.86 = 895.61/x
  3. Step 3: Cross multiply
    2,477.09x = 3,714.86 × 895.61
  4. Step 4: Simplify right side
    2,477.09x = 3,327,065.76
  5. Step 5: Solve for x
    x = 3,327,065.76/2,477.09
  6. Step 6: Final answer
    x = 1,343.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.