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Finding the Fourth Proportional to 1,875.70, 2,815.15 and 837.30

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Solution

The fourth proportional to 1,875.70, 2,815.15 and 837.30 is: 1,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.70 : 2,815.15 = 837.30 : x
  2. Step 2: Convert to fraction form
    1,875.70/2,815.15 = 837.30/x
  3. Step 3: Cross multiply
    1,875.70x = 2,815.15 × 837.30
  4. Step 4: Simplify right side
    1,875.70x = 2,357,125.10
  5. Step 5: Solve for x
    x = 2,357,125.10/1,875.70
  6. Step 6: Final answer
    x = 1,256.66

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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.