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Finding the Fourth Proportional to 1,451.51, 2,177.10 and 411.60

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Solution

The fourth proportional to 1,451.51, 2,177.10 and 411.60 is: 617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.51 : 2,177.10 = 411.60 : x
  2. Step 2: Convert to fraction form
    1,451.51/2,177.10 = 411.60/x
  3. Step 3: Cross multiply
    1,451.51x = 2,177.10 × 411.60
  4. Step 4: Simplify right side
    1,451.51x = 896,094.36
  5. Step 5: Solve for x
    x = 896,094.36/1,451.51
  6. Step 6: Final answer
    x = 617.35

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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.