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Finding the Fourth Proportional to 1,904.16, 2,641.08 and 1,826.40

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Solution

The fourth proportional to 1,904.16, 2,641.08 and 1,826.40 is: 2,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.16 : 2,641.08 = 1,826.40 : x
  2. Step 2: Convert to fraction form
    1,904.16/2,641.08 = 1,826.40/x
  3. Step 3: Cross multiply
    1,904.16x = 2,641.08 × 1,826.40
  4. Step 4: Simplify right side
    1,904.16x = 4,823,668.51
  5. Step 5: Solve for x
    x = 4,823,668.51/1,904.16
  6. Step 6: Final answer
    x = 2,533.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.