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Finding the Fourth Proportional to 1,637.36, 2,258.52 and 973.74

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Solution

The fourth proportional to 1,637.36, 2,258.52 and 973.74 is: 1,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.36 : 2,258.52 = 973.74 : x
  2. Step 2: Convert to fraction form
    1,637.36/2,258.52 = 973.74/x
  3. Step 3: Cross multiply
    1,637.36x = 2,258.52 × 973.74
  4. Step 4: Simplify right side
    1,637.36x = 2,199,211.26
  5. Step 5: Solve for x
    x = 2,199,211.26/1,637.36
  6. Step 6: Final answer
    x = 1,343.14

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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.