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Finding the Fourth Proportional to 3,045.88, 4,569.10 and 1,402.88

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Solution

The fourth proportional to 3,045.88, 4,569.10 and 1,402.88 is: 2,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.88 : 4,569.10 = 1,402.88 : x
  2. Step 2: Convert to fraction form
    3,045.88/4,569.10 = 1,402.88/x
  3. Step 3: Cross multiply
    3,045.88x = 4,569.10 × 1,402.88
  4. Step 4: Simplify right side
    3,045.88x = 6,409,899.01
  5. Step 5: Solve for x
    x = 6,409,899.01/3,045.88
  6. Step 6: Final answer
    x = 2,104.45

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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.