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Finding the Fourth Proportional to 2,045.37, 3,068.07 and 1,430.28

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Solution

The fourth proportional to 2,045.37, 3,068.07 and 1,430.28 is: 2,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.37 : 3,068.07 = 1,430.28 : x
  2. Step 2: Convert to fraction form
    2,045.37/3,068.07 = 1,430.28/x
  3. Step 3: Cross multiply
    2,045.37x = 3,068.07 × 1,430.28
  4. Step 4: Simplify right side
    2,045.37x = 4,388,199.16
  5. Step 5: Solve for x
    x = 4,388,199.16/2,045.37
  6. Step 6: Final answer
    x = 2,145.43

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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.