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Finding the Fourth Proportional to 1,774.95, 2,660.63 and 735.51

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Solution

The fourth proportional to 1,774.95, 2,660.63 and 735.51 is: 1,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.95 : 2,660.63 = 735.51 : x
  2. Step 2: Convert to fraction form
    1,774.95/2,660.63 = 735.51/x
  3. Step 3: Cross multiply
    1,774.95x = 2,660.63 × 735.51
  4. Step 4: Simplify right side
    1,774.95x = 1,956,916.29
  5. Step 5: Solve for x
    x = 1,956,916.29/1,774.95
  6. Step 6: Final answer
    x = 1,102.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.