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Finding the Fourth Proportional to 2,429.64, 3,347.10 and 2,055.42

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Solution

The fourth proportional to 2,429.64, 3,347.10 and 2,055.42 is: 2,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.64 : 3,347.10 = 2,055.42 : x
  2. Step 2: Convert to fraction form
    2,429.64/3,347.10 = 2,055.42/x
  3. Step 3: Cross multiply
    2,429.64x = 3,347.10 × 2,055.42
  4. Step 4: Simplify right side
    2,429.64x = 6,879,696.28
  5. Step 5: Solve for x
    x = 6,879,696.28/2,429.64
  6. Step 6: Final answer
    x = 2,831.57

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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.