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Finding the Fourth Proportional to 2,870.74, 4,308 and 1,021.83

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Solution

The fourth proportional to 2,870.74, 4,308 and 1,021.83 is: 1,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.74 : 4,308 = 1,021.83 : x
  2. Step 2: Convert to fraction form
    2,870.74/4,308 = 1,021.83/x
  3. Step 3: Cross multiply
    2,870.74x = 4,308 × 1,021.83
  4. Step 4: Simplify right side
    2,870.74x = 4,402,043.64
  5. Step 5: Solve for x
    x = 4,402,043.64/2,870.74
  6. Step 6: Final answer
    x = 1,533.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.