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Finding the Fourth Proportional to 1,881.32, 2,596.94 and 1,831.64

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Solution

The fourth proportional to 1,881.32, 2,596.94 and 1,831.64 is: 2,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.32 : 2,596.94 = 1,831.64 : x
  2. Step 2: Convert to fraction form
    1,881.32/2,596.94 = 1,831.64/x
  3. Step 3: Cross multiply
    1,881.32x = 2,596.94 × 1,831.64
  4. Step 4: Simplify right side
    1,881.32x = 4,756,637.04
  5. Step 5: Solve for x
    x = 4,756,637.04/1,881.32
  6. Step 6: Final answer
    x = 2,528.36

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1.5x scale

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.