Home / 2,090.52-2,884.95-1,159.02

Finding the Fourth Proportional to 2,090.52, 2,884.95 and 1,159.02

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Solution

The fourth proportional to 2,090.52, 2,884.95 and 1,159.02 is: 1,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.52 : 2,884.95 = 1,159.02 : x
  2. Step 2: Convert to fraction form
    2,090.52/2,884.95 = 1,159.02/x
  3. Step 3: Cross multiply
    2,090.52x = 2,884.95 × 1,159.02
  4. Step 4: Simplify right side
    2,090.52x = 3,343,714.75
  5. Step 5: Solve for x
    x = 3,343,714.75/2,090.52
  6. Step 6: Final answer
    x = 1,599.47

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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.