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Finding the Fourth Proportional to 1,604.87, 2,214.63 and 1,036.71

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Solution

The fourth proportional to 1,604.87, 2,214.63 and 1,036.71 is: 1,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.87 : 2,214.63 = 1,036.71 : x
  2. Step 2: Convert to fraction form
    1,604.87/2,214.63 = 1,036.71/x
  3. Step 3: Cross multiply
    1,604.87x = 2,214.63 × 1,036.71
  4. Step 4: Simplify right side
    1,604.87x = 2,295,929.07
  5. Step 5: Solve for x
    x = 2,295,929.07/1,604.87
  6. Step 6: Final answer
    x = 1,430.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.