Home / 1,430.21-1,974.65-1,098.05

Finding the Fourth Proportional to 1,430.21, 1,974.65 and 1,098.05

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Solution

The fourth proportional to 1,430.21, 1,974.65 and 1,098.05 is: 1,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.21 : 1,974.65 = 1,098.05 : x
  2. Step 2: Convert to fraction form
    1,430.21/1,974.65 = 1,098.05/x
  3. Step 3: Cross multiply
    1,430.21x = 1,974.65 × 1,098.05
  4. Step 4: Simplify right side
    1,430.21x = 2,168,249.07
  5. Step 5: Solve for x
    x = 2,168,249.07/1,430.21
  6. Step 6: Final answer
    x = 1,516.03

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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.