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Finding the Fourth Proportional to 1,578.76, 2,376.67 and 1,420

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Solution

The fourth proportional to 1,578.76, 2,376.67 and 1,420 is: 2,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.76 : 2,376.67 = 1,420 : x
  2. Step 2: Convert to fraction form
    1,578.76/2,376.67 = 1,420/x
  3. Step 3: Cross multiply
    1,578.76x = 2,376.67 × 1,420
  4. Step 4: Simplify right side
    1,578.76x = 3,374,871.40
  5. Step 5: Solve for x
    x = 3,374,871.40/1,578.76
  6. Step 6: Final answer
    x = 2,137.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.