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Finding the Fourth Proportional to 1,510.95, 2,085.14 and 1,137.24

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Solution

The fourth proportional to 1,510.95, 2,085.14 and 1,137.24 is: 1,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.95 : 2,085.14 = 1,137.24 : x
  2. Step 2: Convert to fraction form
    1,510.95/2,085.14 = 1,137.24/x
  3. Step 3: Cross multiply
    1,510.95x = 2,085.14 × 1,137.24
  4. Step 4: Simplify right side
    1,510.95x = 2,371,307.46
  5. Step 5: Solve for x
    x = 2,371,307.46/1,510.95
  6. Step 6: Final answer
    x = 1,569.41

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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.