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Finding the Fourth Proportional to 2,598.64, 3,585.46 and 1,715.84

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Solution

The fourth proportional to 2,598.64, 3,585.46 and 1,715.84 is: 2,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.64 : 3,585.46 = 1,715.84 : x
  2. Step 2: Convert to fraction form
    2,598.64/3,585.46 = 1,715.84/x
  3. Step 3: Cross multiply
    2,598.64x = 3,585.46 × 1,715.84
  4. Step 4: Simplify right side
    2,598.64x = 6,152,075.69
  5. Step 5: Solve for x
    x = 6,152,075.69/2,598.64
  6. Step 6: Final answer
    x = 2,367.42

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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.