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Finding the Fourth Proportional to 1,577.79, 2,364.53 and 999.63

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Solution

The fourth proportional to 1,577.79, 2,364.53 and 999.63 is: 1,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.79 : 2,364.53 = 999.63 : x
  2. Step 2: Convert to fraction form
    1,577.79/2,364.53 = 999.63/x
  3. Step 3: Cross multiply
    1,577.79x = 2,364.53 × 999.63
  4. Step 4: Simplify right side
    1,577.79x = 2,363,650.13
  5. Step 5: Solve for x
    x = 2,363,650.13/1,577.79
  6. Step 6: Final answer
    x = 1,498.08

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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.