Home / 1,465.84-2,024.22-942.78

Finding the Fourth Proportional to 1,465.84, 2,024.22 and 942.78

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Solution

The fourth proportional to 1,465.84, 2,024.22 and 942.78 is: 1,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.84 : 2,024.22 = 942.78 : x
  2. Step 2: Convert to fraction form
    1,465.84/2,024.22 = 942.78/x
  3. Step 3: Cross multiply
    1,465.84x = 2,024.22 × 942.78
  4. Step 4: Simplify right side
    1,465.84x = 1,908,394.13
  5. Step 5: Solve for x
    x = 1,908,394.13/1,465.84
  6. Step 6: Final answer
    x = 1,301.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.