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Finding the Fourth Proportional to 2,030.99, 2,802.90 and 1,146.77

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Solution

The fourth proportional to 2,030.99, 2,802.90 and 1,146.77 is: 1,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.99 : 2,802.90 = 1,146.77 : x
  2. Step 2: Convert to fraction form
    2,030.99/2,802.90 = 1,146.77/x
  3. Step 3: Cross multiply
    2,030.99x = 2,802.90 × 1,146.77
  4. Step 4: Simplify right side
    2,030.99x = 3,214,267.62
  5. Step 5: Solve for x
    x = 3,214,267.62/2,030.99
  6. Step 6: Final answer
    x = 1,582.62

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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.