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Finding the Fourth Proportional to 2,359.89, 3,256.71 and 1,312.02

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Solution

The fourth proportional to 2,359.89, 3,256.71 and 1,312.02 is: 1,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.89 : 3,256.71 = 1,312.02 : x
  2. Step 2: Convert to fraction form
    2,359.89/3,256.71 = 1,312.02/x
  3. Step 3: Cross multiply
    2,359.89x = 3,256.71 × 1,312.02
  4. Step 4: Simplify right side
    2,359.89x = 4,272,868.65
  5. Step 5: Solve for x
    x = 4,272,868.65/2,359.89
  6. Step 6: Final answer
    x = 1,810.62

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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.