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Finding the Fourth Proportional to 1,875.97, 2,588.82 and 1,036.67

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Solution

The fourth proportional to 1,875.97, 2,588.82 and 1,036.67 is: 1,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.97 : 2,588.82 = 1,036.67 : x
  2. Step 2: Convert to fraction form
    1,875.97/2,588.82 = 1,036.67/x
  3. Step 3: Cross multiply
    1,875.97x = 2,588.82 × 1,036.67
  4. Step 4: Simplify right side
    1,875.97x = 2,683,752.03
  5. Step 5: Solve for x
    x = 2,683,752.03/1,875.97
  6. Step 6: Final answer
    x = 1,430.59

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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.