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Finding the Fourth Proportional to 3,045.36, 4,568.28 and 1,506

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Solution

The fourth proportional to 3,045.36, 4,568.28 and 1,506 is: 2,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.36 : 4,568.28 = 1,506 : x
  2. Step 2: Convert to fraction form
    3,045.36/4,568.28 = 1,506/x
  3. Step 3: Cross multiply
    3,045.36x = 4,568.28 × 1,506
  4. Step 4: Simplify right side
    3,045.36x = 6,879,829.68
  5. Step 5: Solve for x
    x = 6,879,829.68/3,045.36
  6. Step 6: Final answer
    x = 2,259.12

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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.