Home / 2,564.16-3,537.45-1,516.02

Finding the Fourth Proportional to 2,564.16, 3,537.45 and 1,516.02

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Solution

The fourth proportional to 2,564.16, 3,537.45 and 1,516.02 is: 2,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.16 : 3,537.45 = 1,516.02 : x
  2. Step 2: Convert to fraction form
    2,564.16/3,537.45 = 1,516.02/x
  3. Step 3: Cross multiply
    2,564.16x = 3,537.45 × 1,516.02
  4. Step 4: Simplify right side
    2,564.16x = 5,362,844.95
  5. Step 5: Solve for x
    x = 5,362,844.95/2,564.16
  6. Step 6: Final answer
    x = 2,091.46

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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.