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Finding the Fourth Proportional to 3,078.47, 4,619.73 and 1,130.69

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Solution

The fourth proportional to 3,078.47, 4,619.73 and 1,130.69 is: 1,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.47 : 4,619.73 = 1,130.69 : x
  2. Step 2: Convert to fraction form
    3,078.47/4,619.73 = 1,130.69/x
  3. Step 3: Cross multiply
    3,078.47x = 4,619.73 × 1,130.69
  4. Step 4: Simplify right side
    3,078.47x = 5,223,482.51
  5. Step 5: Solve for x
    x = 5,223,482.51/3,078.47
  6. Step 6: Final answer
    x = 1,696.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.