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Finding the Fourth Proportional to 1,653.01, 2,281.77 and 1,505.39

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Solution

The fourth proportional to 1,653.01, 2,281.77 and 1,505.39 is: 2,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.01 : 2,281.77 = 1,505.39 : x
  2. Step 2: Convert to fraction form
    1,653.01/2,281.77 = 1,505.39/x
  3. Step 3: Cross multiply
    1,653.01x = 2,281.77 × 1,505.39
  4. Step 4: Simplify right side
    1,653.01x = 3,434,942.33
  5. Step 5: Solve for x
    x = 3,434,942.33/1,653.01
  6. Step 6: Final answer
    x = 2,078.00

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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.