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Finding the Fourth Proportional to 1,342.36, 1,840.07 and 1,319.68

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Solution

The fourth proportional to 1,342.36, 1,840.07 and 1,319.68 is: 1,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.36 : 1,840.07 = 1,319.68 : x
  2. Step 2: Convert to fraction form
    1,342.36/1,840.07 = 1,319.68/x
  3. Step 3: Cross multiply
    1,342.36x = 1,840.07 × 1,319.68
  4. Step 4: Simplify right side
    1,342.36x = 2,428,303.58
  5. Step 5: Solve for x
    x = 2,428,303.58/1,342.36
  6. Step 6: Final answer
    x = 1,808.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.