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Finding the Fourth Proportional to 2,074.47, 2,859.75 and 1,483.98

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Solution

The fourth proportional to 2,074.47, 2,859.75 and 1,483.98 is: 2,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.47 : 2,859.75 = 1,483.98 : x
  2. Step 2: Convert to fraction form
    2,074.47/2,859.75 = 1,483.98/x
  3. Step 3: Cross multiply
    2,074.47x = 2,859.75 × 1,483.98
  4. Step 4: Simplify right side
    2,074.47x = 4,243,811.81
  5. Step 5: Solve for x
    x = 4,243,811.81/2,074.47
  6. Step 6: Final answer
    x = 2,045.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.