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Finding the Fourth Proportional to 1,437, 1,984.86 and 1,297.06

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Solution

The fourth proportional to 1,437, 1,984.86 and 1,297.06 is: 1,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437 : 1,984.86 = 1,297.06 : x
  2. Step 2: Convert to fraction form
    1,437/1,984.86 = 1,297.06/x
  3. Step 3: Cross multiply
    1,437x = 1,984.86 × 1,297.06
  4. Step 4: Simplify right side
    1,437x = 2,574,482.51
  5. Step 5: Solve for x
    x = 2,574,482.51/1,437
  6. Step 6: Final answer
    x = 1,791.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.