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Finding the Fourth Proportional to 1,588.77, 2,193.66 and 1,029.57

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Solution

The fourth proportional to 1,588.77, 2,193.66 and 1,029.57 is: 1,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.77 : 2,193.66 = 1,029.57 : x
  2. Step 2: Convert to fraction form
    1,588.77/2,193.66 = 1,029.57/x
  3. Step 3: Cross multiply
    1,588.77x = 2,193.66 × 1,029.57
  4. Step 4: Simplify right side
    1,588.77x = 2,258,526.53
  5. Step 5: Solve for x
    x = 2,258,526.53/1,588.77
  6. Step 6: Final answer
    x = 1,421.56

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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.