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Finding the Fourth Proportional to 1,637.63, 2,258.65 and 1,358.99

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Solution

The fourth proportional to 1,637.63, 2,258.65 and 1,358.99 is: 1,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.63 : 2,258.65 = 1,358.99 : x
  2. Step 2: Convert to fraction form
    1,637.63/2,258.65 = 1,358.99/x
  3. Step 3: Cross multiply
    1,637.63x = 2,258.65 × 1,358.99
  4. Step 4: Simplify right side
    1,637.63x = 3,069,482.76
  5. Step 5: Solve for x
    x = 3,069,482.76/1,637.63
  6. Step 6: Final answer
    x = 1,874.34

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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.