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Finding the Fourth Proportional to 1,534.90, 2,288.54 and 1,510.60

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Solution

The fourth proportional to 1,534.90, 2,288.54 and 1,510.60 is: 2,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.90 : 2,288.54 = 1,510.60 : x
  2. Step 2: Convert to fraction form
    1,534.90/2,288.54 = 1,510.60/x
  3. Step 3: Cross multiply
    1,534.90x = 2,288.54 × 1,510.60
  4. Step 4: Simplify right side
    1,534.90x = 3,457,068.52
  5. Step 5: Solve for x
    x = 3,457,068.52/1,534.90
  6. Step 6: Final answer
    x = 2,252.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.