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Finding the Fourth Proportional to 2,458.46, 3,686.22 and 1,070.63

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Solution

The fourth proportional to 2,458.46, 3,686.22 and 1,070.63 is: 1,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.46 : 3,686.22 = 1,070.63 : x
  2. Step 2: Convert to fraction form
    2,458.46/3,686.22 = 1,070.63/x
  3. Step 3: Cross multiply
    2,458.46x = 3,686.22 × 1,070.63
  4. Step 4: Simplify right side
    2,458.46x = 3,946,573.11
  5. Step 5: Solve for x
    x = 3,946,573.11/2,458.46
  6. Step 6: Final answer
    x = 1,605.30

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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.