Home / 2,319.60-3,478.14-1,590

Finding the Fourth Proportional to 2,319.60, 3,478.14 and 1,590

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Solution

The fourth proportional to 2,319.60, 3,478.14 and 1,590 is: 2,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.60 : 3,478.14 = 1,590 : x
  2. Step 2: Convert to fraction form
    2,319.60/3,478.14 = 1,590/x
  3. Step 3: Cross multiply
    2,319.60x = 3,478.14 × 1,590
  4. Step 4: Simplify right side
    2,319.60x = 5,530,242.60
  5. Step 5: Solve for x
    x = 5,530,242.60/2,319.60
  6. Step 6: Final answer
    x = 2,384.14

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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.