Home / 2,316.24-3,477.60-1,584

Finding the Fourth Proportional to 2,316.24, 3,477.60 and 1,584

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Solution

The fourth proportional to 2,316.24, 3,477.60 and 1,584 is: 2,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.24 : 3,477.60 = 1,584 : x
  2. Step 2: Convert to fraction form
    2,316.24/3,477.60 = 1,584/x
  3. Step 3: Cross multiply
    2,316.24x = 3,477.60 × 1,584
  4. Step 4: Simplify right side
    2,316.24x = 5,508,518.40
  5. Step 5: Solve for x
    x = 5,508,518.40/2,316.24
  6. Step 6: Final answer
    x = 2,378.22

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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.