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Finding the Fourth Proportional to 1,673.18, 2,509.68 and 748.16

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Solution

The fourth proportional to 1,673.18, 2,509.68 and 748.16 is: 1,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.18 : 2,509.68 = 748.16 : x
  2. Step 2: Convert to fraction form
    1,673.18/2,509.68 = 748.16/x
  3. Step 3: Cross multiply
    1,673.18x = 2,509.68 × 748.16
  4. Step 4: Simplify right side
    1,673.18x = 1,877,642.19
  5. Step 5: Solve for x
    x = 1,877,642.19/1,673.18
  6. Step 6: Final answer
    x = 1,122.20

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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.