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Finding the Fourth Proportional to 1,535.19, 2,300.99 and 877.53

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Solution

The fourth proportional to 1,535.19, 2,300.99 and 877.53 is: 1,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.19 : 2,300.99 = 877.53 : x
  2. Step 2: Convert to fraction form
    1,535.19/2,300.99 = 877.53/x
  3. Step 3: Cross multiply
    1,535.19x = 2,300.99 × 877.53
  4. Step 4: Simplify right side
    1,535.19x = 2,019,176.25
  5. Step 5: Solve for x
    x = 2,019,176.25/1,535.19
  6. Step 6: Final answer
    x = 1,315.27

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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.