Home / 1,678.16-2,315.69-931.95

Finding the Fourth Proportional to 1,678.16, 2,315.69 and 931.95

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Solution

The fourth proportional to 1,678.16, 2,315.69 and 931.95 is: 1,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.16 : 2,315.69 = 931.95 : x
  2. Step 2: Convert to fraction form
    1,678.16/2,315.69 = 931.95/x
  3. Step 3: Cross multiply
    1,678.16x = 2,315.69 × 931.95
  4. Step 4: Simplify right side
    1,678.16x = 2,158,102.64
  5. Step 5: Solve for x
    x = 2,158,102.64/1,678.16
  6. Step 6: Final answer
    x = 1,285.99

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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.