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Finding the Fourth Proportional to 2,051.74, 2,831.57 and 1,677.67

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Solution

The fourth proportional to 2,051.74, 2,831.57 and 1,677.67 is: 2,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.74 : 2,831.57 = 1,677.67 : x
  2. Step 2: Convert to fraction form
    2,051.74/2,831.57 = 1,677.67/x
  3. Step 3: Cross multiply
    2,051.74x = 2,831.57 × 1,677.67
  4. Step 4: Simplify right side
    2,051.74x = 4,750,437.16
  5. Step 5: Solve for x
    x = 4,750,437.16/2,051.74
  6. Step 6: Final answer
    x = 2,315.32

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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.