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Finding the Fourth Proportional to 1,875.64, 2,588.34 and 1,036.29

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Solution

The fourth proportional to 1,875.64, 2,588.34 and 1,036.29 is: 1,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.64 : 2,588.34 = 1,036.29 : x
  2. Step 2: Convert to fraction form
    1,875.64/2,588.34 = 1,036.29/x
  3. Step 3: Cross multiply
    1,875.64x = 2,588.34 × 1,036.29
  4. Step 4: Simplify right side
    1,875.64x = 2,682,270.86
  5. Step 5: Solve for x
    x = 2,682,270.86/1,875.64
  6. Step 6: Final answer
    x = 1,430.06

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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.