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Finding the Fourth Proportional to 1,647.64, 2,470.72 and 607.47

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Solution

The fourth proportional to 1,647.64, 2,470.72 and 607.47 is: 910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.64 : 2,470.72 = 607.47 : x
  2. Step 2: Convert to fraction form
    1,647.64/2,470.72 = 607.47/x
  3. Step 3: Cross multiply
    1,647.64x = 2,470.72 × 607.47
  4. Step 4: Simplify right side
    1,647.64x = 1,500,888.28
  5. Step 5: Solve for x
    x = 1,500,888.28/1,647.64
  6. Step 6: Final answer
    x = 910.93

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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.