Home / 1,782.02-2,458.06-1,283.86

Finding the Fourth Proportional to 1,782.02, 2,458.06 and 1,283.86

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Solution

The fourth proportional to 1,782.02, 2,458.06 and 1,283.86 is: 1,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.02 : 2,458.06 = 1,283.86 : x
  2. Step 2: Convert to fraction form
    1,782.02/2,458.06 = 1,283.86/x
  3. Step 3: Cross multiply
    1,782.02x = 2,458.06 × 1,283.86
  4. Step 4: Simplify right side
    1,782.02x = 3,155,804.91
  5. Step 5: Solve for x
    x = 3,155,804.91/1,782.02
  6. Step 6: Final answer
    x = 1,770.91

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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.