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Finding the Fourth Proportional to 1,583.40, 2,373.66 and 717.24

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Solution

The fourth proportional to 1,583.40, 2,373.66 and 717.24 is: 1,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.40 : 2,373.66 = 717.24 : x
  2. Step 2: Convert to fraction form
    1,583.40/2,373.66 = 717.24/x
  3. Step 3: Cross multiply
    1,583.40x = 2,373.66 × 717.24
  4. Step 4: Simplify right side
    1,583.40x = 1,702,483.90
  5. Step 5: Solve for x
    x = 1,702,483.90/1,583.40
  6. Step 6: Final answer
    x = 1,075.21

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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.