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Finding the Fourth Proportional to 1,656.30, 2,486.08 and 1,262.64

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Solution

The fourth proportional to 1,656.30, 2,486.08 and 1,262.64 is: 1,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.30 : 2,486.08 = 1,262.64 : x
  2. Step 2: Convert to fraction form
    1,656.30/2,486.08 = 1,262.64/x
  3. Step 3: Cross multiply
    1,656.30x = 2,486.08 × 1,262.64
  4. Step 4: Simplify right side
    1,656.30x = 3,139,024.05
  5. Step 5: Solve for x
    x = 3,139,024.05/1,656.30
  6. Step 6: Final answer
    x = 1,895.20

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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.