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Finding the Fourth Proportional to 1,559.42, 2,152.28 and 929.99

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Solution

The fourth proportional to 1,559.42, 2,152.28 and 929.99 is: 1,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.42 : 2,152.28 = 929.99 : x
  2. Step 2: Convert to fraction form
    1,559.42/2,152.28 = 929.99/x
  3. Step 3: Cross multiply
    1,559.42x = 2,152.28 × 929.99
  4. Step 4: Simplify right side
    1,559.42x = 2,001,598.88
  5. Step 5: Solve for x
    x = 2,001,598.88/1,559.42
  6. Step 6: Final answer
    x = 1,283.55

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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.