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Finding the Fourth Proportional to 2,287.95, 3,430.45 and 1,055.63

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Solution

The fourth proportional to 2,287.95, 3,430.45 and 1,055.63 is: 1,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.95 : 3,430.45 = 1,055.63 : x
  2. Step 2: Convert to fraction form
    2,287.95/3,430.45 = 1,055.63/x
  3. Step 3: Cross multiply
    2,287.95x = 3,430.45 × 1,055.63
  4. Step 4: Simplify right side
    2,287.95x = 3,621,295.83
  5. Step 5: Solve for x
    x = 3,621,295.83/2,287.95
  6. Step 6: Final answer
    x = 1,582.77

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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.