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Finding the Fourth Proportional to 1,675.89, 2,312.96 and 1,152.63

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Solution

The fourth proportional to 1,675.89, 2,312.96 and 1,152.63 is: 1,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.89 : 2,312.96 = 1,152.63 : x
  2. Step 2: Convert to fraction form
    1,675.89/2,312.96 = 1,152.63/x
  3. Step 3: Cross multiply
    1,675.89x = 2,312.96 × 1,152.63
  4. Step 4: Simplify right side
    1,675.89x = 2,665,981.32
  5. Step 5: Solve for x
    x = 2,665,981.32/1,675.89
  6. Step 6: Final answer
    x = 1,590.79

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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.