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Finding the Fourth Proportional to 1,835.94, 2,537.13 and 1,364.52

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Solution

The fourth proportional to 1,835.94, 2,537.13 and 1,364.52 is: 1,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.94 : 2,537.13 = 1,364.52 : x
  2. Step 2: Convert to fraction form
    1,835.94/2,537.13 = 1,364.52/x
  3. Step 3: Cross multiply
    1,835.94x = 2,537.13 × 1,364.52
  4. Step 4: Simplify right side
    1,835.94x = 3,461,964.63
  5. Step 5: Solve for x
    x = 3,461,964.63/1,835.94
  6. Step 6: Final answer
    x = 1,885.66

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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.