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Finding the Fourth Proportional to 2,357.96, 3,254.10 and 1,310

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Solution

The fourth proportional to 2,357.96, 3,254.10 and 1,310 is: 1,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.96 : 3,254.10 = 1,310 : x
  2. Step 2: Convert to fraction form
    2,357.96/3,254.10 = 1,310/x
  3. Step 3: Cross multiply
    2,357.96x = 3,254.10 × 1,310
  4. Step 4: Simplify right side
    2,357.96x = 4,262,871
  5. Step 5: Solve for x
    x = 4,262,871/2,357.96
  6. Step 6: Final answer
    x = 1,807.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.