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Finding the Fourth Proportional to 1,875.69, 2,588.40 and 1,089.72

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Solution

The fourth proportional to 1,875.69, 2,588.40 and 1,089.72 is: 1,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.69 : 2,588.40 = 1,089.72 : x
  2. Step 2: Convert to fraction form
    1,875.69/2,588.40 = 1,089.72/x
  3. Step 3: Cross multiply
    1,875.69x = 2,588.40 × 1,089.72
  4. Step 4: Simplify right side
    1,875.69x = 2,820,631.25
  5. Step 5: Solve for x
    x = 2,820,631.25/1,875.69
  6. Step 6: Final answer
    x = 1,503.78

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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.