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Finding the Fourth Proportional to 2,415.16, 3,607.22 and 2,045.20

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Solution

The fourth proportional to 2,415.16, 3,607.22 and 2,045.20 is: 3,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.16 : 3,607.22 = 2,045.20 : x
  2. Step 2: Convert to fraction form
    2,415.16/3,607.22 = 2,045.20/x
  3. Step 3: Cross multiply
    2,415.16x = 3,607.22 × 2,045.20
  4. Step 4: Simplify right side
    2,415.16x = 7,377,486.34
  5. Step 5: Solve for x
    x = 7,377,486.34/2,415.16
  6. Step 6: Final answer
    x = 3,054.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.