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Finding the Fourth Proportional to 1,907.84, 2,862.30 and 609.32

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Solution

The fourth proportional to 1,907.84, 2,862.30 and 609.32 is: 914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.84 : 2,862.30 = 609.32 : x
  2. Step 2: Convert to fraction form
    1,907.84/2,862.30 = 609.32/x
  3. Step 3: Cross multiply
    1,907.84x = 2,862.30 × 609.32
  4. Step 4: Simplify right side
    1,907.84x = 1,744,056.64
  5. Step 5: Solve for x
    x = 1,744,056.64/1,907.84
  6. Step 6: Final answer
    x = 914.15

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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.