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Finding the Fourth Proportional to 2,187.50, 3,018.75 and 1,402.01

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Solution

The fourth proportional to 2,187.50, 3,018.75 and 1,402.01 is: 1,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.50 : 3,018.75 = 1,402.01 : x
  2. Step 2: Convert to fraction form
    2,187.50/3,018.75 = 1,402.01/x
  3. Step 3: Cross multiply
    2,187.50x = 3,018.75 × 1,402.01
  4. Step 4: Simplify right side
    2,187.50x = 4,232,302.59
  5. Step 5: Solve for x
    x = 4,232,302.59/2,187.50
  6. Step 6: Final answer
    x = 1,934.77

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