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Finding the Fourth Proportional to 2,030.76, 2,802.50 and 1,146.57

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Solution

The fourth proportional to 2,030.76, 2,802.50 and 1,146.57 is: 1,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.76 : 2,802.50 = 1,146.57 : x
  2. Step 2: Convert to fraction form
    2,030.76/2,802.50 = 1,146.57/x
  3. Step 3: Cross multiply
    2,030.76x = 2,802.50 × 1,146.57
  4. Step 4: Simplify right side
    2,030.76x = 3,213,265.29
  5. Step 5: Solve for x
    x = 3,213,265.29/2,030.76
  6. Step 6: Final answer
    x = 1,582.30

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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.