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Finding the Fourth Proportional to 1,931.61, 2,897.43 and 1,006.59

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Solution

The fourth proportional to 1,931.61, 2,897.43 and 1,006.59 is: 1,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.61 : 2,897.43 = 1,006.59 : x
  2. Step 2: Convert to fraction form
    1,931.61/2,897.43 = 1,006.59/x
  3. Step 3: Cross multiply
    1,931.61x = 2,897.43 × 1,006.59
  4. Step 4: Simplify right side
    1,931.61x = 2,916,524.06
  5. Step 5: Solve for x
    x = 2,916,524.06/1,931.61
  6. Step 6: Final answer
    x = 1,509.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.