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Finding the Fourth Proportional to 1,868.68, 2,803.14 and 1,430.56

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Solution

The fourth proportional to 1,868.68, 2,803.14 and 1,430.56 is: 2,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.68 : 2,803.14 = 1,430.56 : x
  2. Step 2: Convert to fraction form
    1,868.68/2,803.14 = 1,430.56/x
  3. Step 3: Cross multiply
    1,868.68x = 2,803.14 × 1,430.56
  4. Step 4: Simplify right side
    1,868.68x = 4,010,059.96
  5. Step 5: Solve for x
    x = 4,010,059.96/1,868.68
  6. Step 6: Final answer
    x = 2,145.93

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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.