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Finding the Fourth Proportional to 1,635.92, 2,258.06 and 973.18

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Solution

The fourth proportional to 1,635.92, 2,258.06 and 973.18 is: 1,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.92 : 2,258.06 = 973.18 : x
  2. Step 2: Convert to fraction form
    1,635.92/2,258.06 = 973.18/x
  3. Step 3: Cross multiply
    1,635.92x = 2,258.06 × 973.18
  4. Step 4: Simplify right side
    1,635.92x = 2,197,482.67
  5. Step 5: Solve for x
    x = 2,197,482.67/1,635.92
  6. Step 6: Final answer
    x = 1,343.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.