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Finding the Fourth Proportional to 1,875.33, 2,588.68 and 1,678.50

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Solution

The fourth proportional to 1,875.33, 2,588.68 and 1,678.50 is: 2,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.33 : 2,588.68 = 1,678.50 : x
  2. Step 2: Convert to fraction form
    1,875.33/2,588.68 = 1,678.50/x
  3. Step 3: Cross multiply
    1,875.33x = 2,588.68 × 1,678.50
  4. Step 4: Simplify right side
    1,875.33x = 4,345,099.38
  5. Step 5: Solve for x
    x = 4,345,099.38/1,875.33
  6. Step 6: Final answer
    x = 2,316.98

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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.