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Finding the Fourth Proportional to 2,030.87, 2,802.63 and 1,332.23

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Solution

The fourth proportional to 2,030.87, 2,802.63 and 1,332.23 is: 1,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.87 : 2,802.63 = 1,332.23 : x
  2. Step 2: Convert to fraction form
    2,030.87/2,802.63 = 1,332.23/x
  3. Step 3: Cross multiply
    2,030.87x = 2,802.63 × 1,332.23
  4. Step 4: Simplify right side
    2,030.87x = 3,733,747.76
  5. Step 5: Solve for x
    x = 3,733,747.76/2,030.87
  6. Step 6: Final answer
    x = 1,838.50

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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.