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Finding the Fourth Proportional to 2,880.74, 4,320.03 and 1,420.58

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Solution

The fourth proportional to 2,880.74, 4,320.03 and 1,420.58 is: 2,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.74 : 4,320.03 = 1,420.58 : x
  2. Step 2: Convert to fraction form
    2,880.74/4,320.03 = 1,420.58/x
  3. Step 3: Cross multiply
    2,880.74x = 4,320.03 × 1,420.58
  4. Step 4: Simplify right side
    2,880.74x = 6,136,948.22
  5. Step 5: Solve for x
    x = 6,136,948.22/2,880.74
  6. Step 6: Final answer
    x = 2,130.34

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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.