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Finding the Fourth Proportional to 1,588.75, 2,384.66 and 973.67

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Solution

The fourth proportional to 1,588.75, 2,384.66 and 973.67 is: 1,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.75 : 2,384.66 = 973.67 : x
  2. Step 2: Convert to fraction form
    1,588.75/2,384.66 = 973.67/x
  3. Step 3: Cross multiply
    1,588.75x = 2,384.66 × 973.67
  4. Step 4: Simplify right side
    1,588.75x = 2,321,862.41
  5. Step 5: Solve for x
    x = 2,321,862.41/1,588.75
  6. Step 6: Final answer
    x = 1,461.44

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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.