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Finding the Fourth Proportional to 1,937.66, 2,907.26 and 705.15

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Solution

The fourth proportional to 1,937.66, 2,907.26 and 705.15 is: 1,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.66 : 2,907.26 = 705.15 : x
  2. Step 2: Convert to fraction form
    1,937.66/2,907.26 = 705.15/x
  3. Step 3: Cross multiply
    1,937.66x = 2,907.26 × 705.15
  4. Step 4: Simplify right side
    1,937.66x = 2,050,053.51
  5. Step 5: Solve for x
    x = 2,050,053.51/1,937.66
  6. Step 6: Final answer
    x = 1,058.01

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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.