Home / 2,402.16-3,314.52-1,470

Finding the Fourth Proportional to 2,402.16, 3,314.52 and 1,470

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Solution

The fourth proportional to 2,402.16, 3,314.52 and 1,470 is: 2,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.16 : 3,314.52 = 1,470 : x
  2. Step 2: Convert to fraction form
    2,402.16/3,314.52 = 1,470/x
  3. Step 3: Cross multiply
    2,402.16x = 3,314.52 × 1,470
  4. Step 4: Simplify right side
    2,402.16x = 4,872,344.40
  5. Step 5: Solve for x
    x = 4,872,344.40/2,402.16
  6. Step 6: Final answer
    x = 2,028.32

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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.