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Finding the Fourth Proportional to 2,848.84, 4,271.10 and 2,365

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Solution

The fourth proportional to 2,848.84, 4,271.10 and 2,365 is: 3,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.84 : 4,271.10 = 2,365 : x
  2. Step 2: Convert to fraction form
    2,848.84/4,271.10 = 2,365/x
  3. Step 3: Cross multiply
    2,848.84x = 4,271.10 × 2,365
  4. Step 4: Simplify right side
    2,848.84x = 10,101,151.50
  5. Step 5: Solve for x
    x = 10,101,151.50/2,848.84
  6. Step 6: Final answer
    x = 3,545.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.