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Finding the Fourth Proportional to 2,452.61, 3,384.62 and 1,457.70

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Solution

The fourth proportional to 2,452.61, 3,384.62 and 1,457.70 is: 2,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.61 : 3,384.62 = 1,457.70 : x
  2. Step 2: Convert to fraction form
    2,452.61/3,384.62 = 1,457.70/x
  3. Step 3: Cross multiply
    2,452.61x = 3,384.62 × 1,457.70
  4. Step 4: Simplify right side
    2,452.61x = 4,933,746.06
  5. Step 5: Solve for x
    x = 4,933,746.06/2,452.61
  6. Step 6: Final answer
    x = 2,011.63

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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.