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Finding the Fourth Proportional to 2,051.30, 2,830.74 and 1,264.52

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Solution

The fourth proportional to 2,051.30, 2,830.74 and 1,264.52 is: 1,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.30 : 2,830.74 = 1,264.52 : x
  2. Step 2: Convert to fraction form
    2,051.30/2,830.74 = 1,264.52/x
  3. Step 3: Cross multiply
    2,051.30x = 2,830.74 × 1,264.52
  4. Step 4: Simplify right side
    2,051.30x = 3,579,527.34
  5. Step 5: Solve for x
    x = 3,579,527.34/2,051.30
  6. Step 6: Final answer
    x = 1,745.00

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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.