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Finding the Fourth Proportional to 1,510.08, 2,265.28 and 740

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Solution

The fourth proportional to 1,510.08, 2,265.28 and 740 is: 1,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.08 : 2,265.28 = 740 : x
  2. Step 2: Convert to fraction form
    1,510.08/2,265.28 = 740/x
  3. Step 3: Cross multiply
    1,510.08x = 2,265.28 × 740
  4. Step 4: Simplify right side
    1,510.08x = 1,676,307.20
  5. Step 5: Solve for x
    x = 1,676,307.20/1,510.08
  6. Step 6: Final answer
    x = 1,110.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.