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Finding the Fourth Proportional to 1,302.08, 1,792.34 and 1,136.00

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Solution

The fourth proportional to 1,302.08, 1,792.34 and 1,136.00 is: 1,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.08 : 1,792.34 = 1,136.00 : x
  2. Step 2: Convert to fraction form
    1,302.08/1,792.34 = 1,136.00/x
  3. Step 3: Cross multiply
    1,302.08x = 1,792.34 × 1,136.00
  4. Step 4: Simplify right side
    1,302.08x = 2,036,083.60
  5. Step 5: Solve for x
    x = 2,036,083.60/1,302.08
  6. Step 6: Final answer
    x = 1,563.72

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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.