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Finding the Fourth Proportional to 1,875.83, 2,809.92 and 1,134.98

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Solution

The fourth proportional to 1,875.83, 2,809.92 and 1,134.98 is: 1,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.83 : 2,809.92 = 1,134.98 : x
  2. Step 2: Convert to fraction form
    1,875.83/2,809.92 = 1,134.98/x
  3. Step 3: Cross multiply
    1,875.83x = 2,809.92 × 1,134.98
  4. Step 4: Simplify right side
    1,875.83x = 3,189,203.00
  5. Step 5: Solve for x
    x = 3,189,203.00/1,875.83
  6. Step 6: Final answer
    x = 1,700.16

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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.