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Finding the Fourth Proportional to 2,030.96, 2,802.71 and 1,146.74

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Solution

The fourth proportional to 2,030.96, 2,802.71 and 1,146.74 is: 1,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.96 : 2,802.71 = 1,146.74 : x
  2. Step 2: Convert to fraction form
    2,030.96/2,802.71 = 1,146.74/x
  3. Step 3: Cross multiply
    2,030.96x = 2,802.71 × 1,146.74
  4. Step 4: Simplify right side
    2,030.96x = 3,213,968.52
  5. Step 5: Solve for x
    x = 3,213,968.52/2,030.96
  6. Step 6: Final answer
    x = 1,582.49

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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.