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Finding the Fourth Proportional to 2,870.94, 4,307.13 and 1,461.90

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Solution

The fourth proportional to 2,870.94, 4,307.13 and 1,461.90 is: 2,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.94 : 4,307.13 = 1,461.90 : x
  2. Step 2: Convert to fraction form
    2,870.94/4,307.13 = 1,461.90/x
  3. Step 3: Cross multiply
    2,870.94x = 4,307.13 × 1,461.90
  4. Step 4: Simplify right side
    2,870.94x = 6,296,593.35
  5. Step 5: Solve for x
    x = 6,296,593.35/2,870.94
  6. Step 6: Final answer
    x = 2,193.22

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Why These Related Problems?

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