Home / 1,923.40-2,883.10-1,307.14

Finding the Fourth Proportional to 1,923.40, 2,883.10 and 1,307.14

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Solution

The fourth proportional to 1,923.40, 2,883.10 and 1,307.14 is: 1,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.40 : 2,883.10 = 1,307.14 : x
  2. Step 2: Convert to fraction form
    1,923.40/2,883.10 = 1,307.14/x
  3. Step 3: Cross multiply
    1,923.40x = 2,883.10 × 1,307.14
  4. Step 4: Simplify right side
    1,923.40x = 3,768,615.33
  5. Step 5: Solve for x
    x = 3,768,615.33/1,923.40
  6. Step 6: Final answer
    x = 1,959.35

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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.