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Finding the Fourth Proportional to 1,585.56, 2,376.69 and 597.70

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Solution

The fourth proportional to 1,585.56, 2,376.69 and 597.70 is: 895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.56 : 2,376.69 = 597.70 : x
  2. Step 2: Convert to fraction form
    1,585.56/2,376.69 = 597.70/x
  3. Step 3: Cross multiply
    1,585.56x = 2,376.69 × 597.70
  4. Step 4: Simplify right side
    1,585.56x = 1,420,547.61
  5. Step 5: Solve for x
    x = 1,420,547.61/1,585.56
  6. Step 6: Final answer
    x = 895.93

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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.