Home / 1,523.64-2,284.02-1,036.92

Finding the Fourth Proportional to 1,523.64, 2,284.02 and 1,036.92

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Solution

The fourth proportional to 1,523.64, 2,284.02 and 1,036.92 is: 1,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.64 : 2,284.02 = 1,036.92 : x
  2. Step 2: Convert to fraction form
    1,523.64/2,284.02 = 1,036.92/x
  3. Step 3: Cross multiply
    1,523.64x = 2,284.02 × 1,036.92
  4. Step 4: Simplify right side
    1,523.64x = 2,368,346.02
  5. Step 5: Solve for x
    x = 2,368,346.02/1,523.64
  6. Step 6: Final answer
    x = 1,554.40

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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.