Home / 2,307.60-3,460.14-1,578

Finding the Fourth Proportional to 2,307.60, 3,460.14 and 1,578

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Solution

The fourth proportional to 2,307.60, 3,460.14 and 1,578 is: 2,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.60 : 3,460.14 = 1,578 : x
  2. Step 2: Convert to fraction form
    2,307.60/3,460.14 = 1,578/x
  3. Step 3: Cross multiply
    2,307.60x = 3,460.14 × 1,578
  4. Step 4: Simplify right side
    2,307.60x = 5,460,100.92
  5. Step 5: Solve for x
    x = 5,460,100.92/2,307.60
  6. Step 6: Final answer
    x = 2,366.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.