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Finding the Fourth Proportional to 1,458.21, 2,187.01 and 417.93

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Solution

The fourth proportional to 1,458.21, 2,187.01 and 417.93 is: 626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.21 : 2,187.01 = 417.93 : x
  2. Step 2: Convert to fraction form
    1,458.21/2,187.01 = 417.93/x
  3. Step 3: Cross multiply
    1,458.21x = 2,187.01 × 417.93
  4. Step 4: Simplify right side
    1,458.21x = 914,017.61
  5. Step 5: Solve for x
    x = 914,017.61/1,458.21
  6. Step 6: Final answer
    x = 626.81

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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.